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An swersPupil Book 5A

Pupil Book 5AUnit 1, Week 1: Number - Number and place valueLesson 1: 5-digit numbers

1 a 6281 = 6000 + 200 + 80 + 1b 3025 = 3000 + 20 + 5c 8127 = 8000+100+20+7d 5338 = 5000+300+30+8e 7208 = 7000 + 200 + 8f 3719 = 3000 + 700 + 10 + 9g 8972 = 8000 + 900 + 70 + 2h 6320 = 6000 + 300 + 20i 2977 = 2000 + 900 + 70 + 7j 6839 = 6000 + 800 + 30 + 9k 9273 = 9000 + 200 + 70 + 3l 9999 = 9000 + 900 + 90 + 9

2 Answers will vary.

1 a 16 864 = 10 000 + 6000 + 800 + 60 + 4

b 27 519 = 20 000 + 7000 + 500 + 10 + 9

c 46 862 = 40 000 + 6000 + 800 + 60 + 2

d 53 952 = 50 000 + 3000 + 900 + 50 + 2

e 75 144 = 70 000 + 5000 + 100 + 40 + 4

f 83 482 = 80 000 + 3000 + 400 + 80 + 2

g 91 639 = 90 000 + 1000 + 600 + 30 + 9

h 78 063 = 70 000 + 8000 + 60 + 3i 61 777 =

60 000 + 1000 + 700 + 70 + 7j 83 606 = 80 000 + 3000 + 600 + 6k 76 933 =

70 000 + 6000 + 900 + 30 + 3l 99 999 =

90 000 + 9000 + 900 + 90 + 9

2 a 34 789 e 18 453b 56 132 f 95 298c 43 817 g 62 961d 81 574 h 55 555

3 Answers will vary.

1 a 46 315 e 14 953b 23 588 f 73 891c 67 343 g 85 955d 62 791 h 68 425

2 Answers will vary.

3 Answers will vary.

4 Answers will vary.

Lesson 2: Ordering 5-digit numbers

1 a 1447 2872 36094871 4927 8182

b 1633 1724 30914327 5287 7298

c 3018 3904 39275112 5719 5981

d 6252 6300 69117275 7484 7982

e 8027 8209 86349145 9222 9638

f 2071 2251 22872856 2874 2981

g 4061 4187 46174782 4823 4971

h 5402 5410 54285439 5482 5498

2 Answers will vary.

1 a 16 398 19 872 23 87226 154 35 982

b 12 872 33 886 59 09162 612 76 386

c 30 135 30 671 31 83236 989 37 871

d 40 871 42 337 45 22745 871 48 240

e 56 002 56 397 65 25565 872 65 882

f 48 523 48 655 48 76284 011 84 330

g 79 023 79 276 79 54879 761 79 980

h 91 001 91 012 91 10191 121 91 122

2 Answers will vary.

Answers will vary.

Lesson 3: 5-digit counting

1 a 4316 count on in tens to 4376b 5753 count on in tens to 5813c 2694 count on in tens to 2754d 8067 count on in tens to 8127e 6599 count on in tens to 6659

2 a 4316 count back in tens to 4236b 5753 count back in tens to 5673c 2694 count back in tens to 2614d 8067 count back in tens to 7987e 6599 count back in tens to 6519

3 a 2762 count on in hundreds to 3362b 3276 count on in hundreds to 3876c 5861 count on in hundreds to 6461d 7534 count on in hundreds to 8134e 6725 count on in hundreds to 7325

4 a 2762 count back in hundreds to 1962b 3276 count back in hundreds to 2476c 5861 count back in hundreds to 5061d 7534 count back in hundreds to 6734e 6725 count back in hundreds to 5925

1 a 41 763 count on in tens to 41 823b 28 741 count on in tens to 28 801 c 33 285 count on in tens to 33 345d 58 531 count on in tens to 58 591e 72 868 count on in tens to 72 928

2 a 41 763 count back in tens to 41 683b 28 741 count back in tens to 28 661c 33 285 count back in tens to 33 205d 58 531 count back in tens to 58 451e 72 868 count back in tens to 72 788

3 a 18 652 count on in hundreds to 19 252

b 26 482 count on in hundreds to 27 082

c 61 875 count on in hundreds to 62 475

d 57 946 count on in hundreds to 58 546

e 72 931 count on in hundreds to 73 531

f 65 428 count on in hundreds to 66 028

4 a 18 652 count back in hundreds to 17 852

b 26 482 count back in hundreds to 25 682

c 61 875 count back in hundreds to 61 075

d 57 946 count back in hundreds to 57 146

e 72 931 count back in hundreds to 72 131

f 65 428 count back in hundreds to 64 628

Answers will vary.

Lesson 4: 5-digit rounding

1, 2 a 2760 2763 2770

b 1950 1951 1960

c 4280 4287 4290

d 6150 6159 6160

e 7390 7395 7400

f 8210 8218 8220

g 4830 4832 4840

h 5620 5624 5630

i 8910 8916 8920

j 4890 4893 4900

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Pupil Book 5A

1 a 25 820 25 824 25 830

b 18 760 18 769 18 770

c 36 520 36 523 36 530

d 41 990 41 995 42 000

e 57 160 57 168 57 170

f 68 220 68 221 68 230

g 48 630 48 637 48 640

h 73 520 73 524 73 530

i 36 880 36 885 36 890

j 83 480 83 482 83 490

2 a 25 800 25 824 25 900

b 18 700 18 769 18 800

c 36 500 36 523 36 600

d 41 900 41 995 42 000

e 57 100 57 168 57 200

f 68 200 68 221 68 300

g 48 600 48 637 48 700

h 73 500 73 524 73 600

i 36 800 36 885 36 900

j 83 400 83 482 83 500

3 a 25 000 25 824 26 000

b 18 000 18 769 19 000

c 36 000 36 523 37 000

d 41 000 41 995 42 000

e 57 000 57 168 58 000

f 68 000 68 221 69 000

g 48 000 48 637 49 000

h 73 000 73 524 74 000

i 36 000 36 885 37 000

j 83 000 83 482 84 000

4 Answers will vary.

5 Answers will vary.

1 Answers will vary.2 a £37 600

b £93 870c 65 000 copiesd 34 630, 34 600, 35 000e Various answers between £44 500

and £45 499f 84 140, 84 100, 84 000

Unit 1, Week 2: Number - Addition and subtractionLesson 1: Adding mentally (1)

1 a 1632 f 2591b 1571 g 3177c 2803 h 3523d 2925 i 4235e 3053 j 5944

2 a 1833 f 3979b 1832 g 4906c 2981 h 5997d 3088 i 7175e 3494 j 8402

1 a 13 614 f 54 741b 24 611 g 54 863c 29 822 h 60 921d 37 041 i 64 353e 42 663

2 a 17 956 f 61 556b 23 863 g 62 163c 38 839 h 66 525d 46 212 i 72 403e 57 188

3 a 19 871 f 72 402b 30 871 g 55 873c 37 287 h 70 871d 53 287 i 72 692e 61 899

1 a 37 358 f 75 597b 46 498 g 82 562c 50 341 h 94 366d 68 498 i 91 521e 73 681 j 101 289

2 a 28 887 f 50 405b 18 908 g 68 358c 32 969 h 83 026d 45 451 i 87 452e 59 831 j 92 150

3 a 800 f 79316 b 5000 g 16752 c 70 h 53978 d 720 i 84361 e 5600 j 35823

4 Answers will vary.

Lesson 2: Subtracting mentally (1)

1 a 1722 g 5782b 2816 h 6297c 3099 i 7295d 4671 j 8588e 4487 k 7682f 5766 l 8292

2 a 1319 g 4926b 2037 h 6055c 3521 i 6871d 2956 j 7717e 4258 k 7785f 4149 l 7812

1 a 18 813 f 57 461b 26 089 g 61 582c 30 565 h 63 663d 45 771 i 68 562e 51 646

2 a 18 487 f 63 487b 28 926 g 61 829c 36 955 h 64 918d 40 839 i 70 763e 54 588 j 69 868

3 a 12 752 f 59 114b 17 871 g 47 753c 29 874 h 59 826d 38 287 i 63 104e 48 829

1 a 34 671 f 69 955b 48 543 g 76 562c 47 893 h 85 877d 66 498 i 93 573e 74 834

2 a 24 988 f 71 713b 35 683 g 79 227c 42 368 h 92 335d 48 442 i 93 867e 64 563

3 a 240 f 74 079b 6100 g 16 791c 5800 h 38 213d 40 i 91 476e 4600 j 89 504

4 Answers will vary.

Lesson 3: Subtracting mentally (2)

1 a 3273 f 4847b 1217 g 5262c 3229 h 6831d 4783 i 6171e 2232

2 a 1931 f 2202b 2272 g 2031c 1821 h 3252d 2822 i 6022e 2381

1 a 22 201 f 49 382b 23 362 g 45 543c 31 281 h 49 289d 34 402 i 52 274e 36 561

2 a 5271 f 22 757b 8172 g 29 727c 7871 h 26 467d 14 998 i 16 821e 27 293

3 Answers will vary.

4 Answers will vary.

1 a 18 787 f 40 047b 17 278 g 38 804c 27 799 h 40 405d 21 301 i 10 449e 31 898

2 a 37 760 f 30 994b 37 293 g 29 853c 38 287 h 39 996d 38 709 i 73 809e 32 979

3 a 35 997 f 64 387b 32 999 g 97 623c 14 003 h 51 809d 16 998 i 84 152e 12 002 j 37 921

4 Answers will vary.

5 Answers will vary.

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Pupil Book 5A

Lesson 4: Computer game problems

1 78512 a 600 b 92203 34904 7741

1 44 7242 94013 38 3034 24 3615 Molly 19 801 Jack 22 6016 Answers will vary.

1 Tuesday 30 780 Wednesday 32 7812 Answers will vary.3 56 4974 7995 Answers will vary.

Unit 1, Week 3: Geometry - Properties of shapesLesson 1: Faces and edges in 3-D shapes

1 a parallelb parallelc perpendiculard perpendiculare perpendicular

1

3-D shapeTotal number of faces

Number of faces perpendicular to the shelf

Number of faces parallel to the shelf

cube 6 4 2

triangular prism 5 3 2

pentagonal prism 7 5 2

hexagonal prism 8 6 2

2

3-D shapeTotal number of edges

Number of edges perpendicularto the shelf

Number of edges parallel to the shelf

cube 12 4 8

triangular prism 9 3 6

pentagonal prism 15 5 10

hexagonal prism 18 6 12

3 a parallelb parallelc perpendiculard perpendiculare perpendicularf parallel

4 a

3-D shapeTotal number of faces

Number of faces perpendicularto the shelf

Number of faces parallel to the shelf

triangular prism 5 2 1

pentagonal prism 7 2 1

hexagonal prism 8 2 2

3-D shapeTotal number of edges

Number of edges perpendicular to the shelf

Number of edges parallel to the shelf

triangular prism 9 0 5

pentagonal prism 15 0 7

hexagonal prism 18 0 10

b Answers may vary

1 a 1b 4c, d Answers may vary.

Lesson 2: Identifying 3-D shapes

1 no faces with 4 right angles

D, E

only one face with 4 right angles

B

more than one face with 4 right angles

A, C, F, G, H

3 edges at each vertex A, C, D, F, G, H

more than 3 edges at one or more vertices

B, E

2 a hexagonal prismb octahedron

1

3 edges at each vertex

More than 3 edges at one or more vertices

no right-angled faces

H, I G, J

one right-angled face

A

more than one right-angled face

B, C, D, E, F

2 a cubeb nonec hexagonal prismd dodecahedron

tetrahedron, cube, octahedron, dodecahedron

Lesson 3: Drawing 3-D shapes

1 b

top view

B G

R

YB

R

B

R

Y

front view side view

2 Answers will vary.

1 A

top view

Y

G B

R

Y

B R

Y

B

G

front view side view

B

top view

Y

B

R P

Y

B

G RB R

P

front view side view

C

top view

P

Y

O B R

P

G O

Y

B

G Y

R

front view side view

2 Answers will vary.

Answers will vary.

Lesson 4: Working with 3-D shapes

1 A 4 B 6 C 11D 5 E 10 F 5

2 shape E

1 A 4 B 5 C 8D 9 E 5 F 11

2 A and B C and G D and F E and H

Answers will vary.

Unit 2, Week 1: Number - Multiplication and divisionLesson 1: Multiplying by 9, 99 using 10, 100 and adjusting

1 a 230 d 580b 470 e 840c 720

2 a 3900 d 8500b 7700 e 4600c 2800

1 a 603 f 306b 801 g 405c 621 h 522d 333 i 666e 567 j 828

2 a 4554 f 8217b 3663 g 5742c 2475 h 6138d 7326 i 4059e 9207 j 8514

3 81, 891, 8991, 89 991

1 Answers will vary.2 a 6965 g 5364

b 9867 h 15 968c 10 692 i 12 177d 5148 j 12 814e 5940 k 25 536f 8734 l 48 438

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Pupil Book 5A

Lesson 2: Multiplying by multiples of 10, 100 and 1000

1 a 360 b 3600 c 36 0002 a 480 b 4800 c 48 0003 a 740 b 7400 c 74 0004 a 270 b 2700 c 27 0005 a 530 b 5300 c 53 0006 a 650 b 6500 c 65 0007 a 810 b 8100 c 81 000

1 a 72 d 288b 74 e 315c 232 f 256

2

2320 288 000 7400 315 000 720

31 500 25 600 7200 23 200 28 800

2560 23 200 3150 2880 74 000

3, 4 Answers will vary.

1 a 30 h 1400b 1890 i 5000c 30 j 3000d 200 k 800e 40 l 34 200f 600 m 4000g 1000 n 170

2 a 1680 b 15 c 36 000

Lesson 3: Multiplying using multiples 10 and adjusting

1 a 530 f 360b 270 g 740c 820 h 910d 650 i 180e 480 j 600

2 a 243 f 144b 455 g 584c 265 h 570d 656 i 518e 288

1 a 456 e 1216b 855 f 1064c 684 g 1463d 912 h 1615

2 a 667 d 1276b 435 e 1827c 1073

3 a 624 e 2418b 1053 f 1599c 1755 g 3120d 2067 h 2886

4 a 1862 e 2773b 2415 f 986c 2054 g 2695d 1416 h 1596

32 × 2144 × 2836 × 4129 × 15

Lesson 4: Multiplying and halving

1 a i 240 iv 210ii 130 v 320iii 420

b i 280 iv 360ii 190 v 470iii 70

c i 75 iv 195ii 185 v 375iii 265

2 Answers will vary.

1 a 120 f 185b 430 g 240c 320 h 290d 225 i 360e 315

2 a 2200 f 750b 3100 g 1800c 1150 h 2800d 2250 i 3750e 1350

3 a 600 f 1300b 1200 g 1900c 1600 h 1150d 400 i 2075e 900

4 a 190 f 2350b 700 g 325c 1750 h 4150d 365 i 385e 1125 j 2300

1 Answers will vary.

2 a 25 d 77b 34 e 5c 50 f 58

Unit 2, Week 2: Number - FractionsLesson 1: Finding fractions

1 a 24 e 24b 22 f 18c 17 g 14d 14 h 18

2 a 23 e 1

3

b 310 f 1

2

c 27 g 5

6

d 58 h 1

5

1 i 23 200ml v 2

6 100ml

ii 25 120ml vi 3

3 300ml

iii 46 200ml vii 4

5 240ml

iv 35 180ml viii 5

6 250ml

2 a £48 e 68 hrsb 87 km f £84c 38 g g 140 kgd 136 h 72 km

1 Answers will vary.

2 68 is further than 4

6

3 89

4 a Answers will vary.b Answers will vary.

Lesson 2: Fraction sequences

1 12 count in halves to 10

2 14 count in quarters to 5

3 13 count in thirds to 7

1 a 8 count in halves to 15b 10 count in quarters to 13c 4 count in thirds to 7d 7 count in fifths to 10e 2 count in tenths to 4f 5 count in sixths to 8

2 a 14 3

4 1 14 134

continue in sequence to 4 34

b 26 4

6 1 126

continue in sequence to 3 26

c 15 3

5 1 1 25 continue in sequence to 3 45

d 210 4

10 610 8

10 continue in sequence to 2

e 28 , 4

8 , 68 , 1, 1 28 , 1 48 , 16

8 , 2, 2 28 , 2 48

f 110 , 3

10 , 510 , 7

10 , 910 , 1 1

10 , 1 310 , 1 5

10 ,

1 710 , 1 9

10

3 Answers will vary.

1 a 0, 310 , 6

10 , 910 ,

complete sequence to 3

b 0, 34 , 1 12 , 21

4 , complete sequence to 6 34

c 0, 25 , 4

5 , 1 15 , complete sequence to 4

d 0, 1 12 , 3, 412 ,

complete sequence to13 12

e 0, 16 , 4

6 , 1 16 , complete sequence to 4 46

f 67 , 1 17 , 1 37 , complete sequence to 3 57

2 Answers will vary.

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Pupil Book 5A

3 a 3 increase by 25 to 7

b 10 increase by 310 to 13

c 9 increase by 27 to 11 67

d 5 decrease by 26 to 1 46

e 8 decrease by 23 to 1 13

f 12 decrease by 210 to 10

Lesson 3: Equivalent fractions

1 12 = 2

4 = 36 = 4

8 = 510

2, 3 Answers will vary.

1 14 = 2

8 = 312

2 Answers will vary.

3 13 = 2

6 = 39 = 4

12

4 Answers will vary.

1 Answers will vary.

2 a 916 ✗ g 13

26 ✓

b 714 ✓ h 15

28 ✗

c 613 ✗ i 8

18 ✗

d 1122 ✓ j 14

28 ✓

e 918 ✓ k 9

17 ✗

f 1220 ✗ l 16

30 ✗

3 Answers will vary.

4 Answers will vary.

Lesson 4: Ordering fractions

1 a 15 1

4 13 1

2

b 25 3

6 46 4

5

c 25 3

6 23 3

4

d 310 1

2 58 4

6

e 13 6

10 34 5

6

1 a 25 1

2 610

b 14 2

3 56

c 25 6

10 34

d 26 5

12 23

e 27 1

2 1114

f 48 1

2 23

2 Answers will vary.

1 a Halves group 12 1

4 16 1

8 110 1

12

Thirds group 13 1

6 19 1

12

Quarters group 14 1

8 112

Fifths group 15 1

10

b Twelfths

c 17 1

11 114 1

22

2 a 13 3

6 47 3

4

b 25 1

2 710 5

6

c 29 13

18 34 11

12

d 23 4

5 1315 9

10

Unit 2, Week 3: Geometry - Position and directionLesson 1: Translating shapes

1 A

B

1 A

B

C

2

3 Answers will vary.

a Answers will vary.b Answers will vary.

Lesson 2: Tiling translations

Answers will vary.

1 Answers will vary.2 Answers will vary.

1 Answers will vary.2 Answers will vary.

Lesson 3: Translating polygons

1 A trapezium

B trapezium

C isosceles trapezium

1 a 4 dots to the rightb 4 dots upc 4 dots up

2

Lesson 4: Translating with coordinates

3 to the right then 1 up

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Pupil Book 5A

Shape x-axis y-axis

A 0 2

B 2 4

C 4 6

D 6 8

00 1 2

D

C

B

A

3 4 5 6 7 8 9

1

2

3

4

5

6

7

8

9

x

y

00 1 2 3

D

B

A

C

E

4 5 6 7 8 9

1

2

3

4

5

6

7

8

9

x

y

Unit 3, Week 1: Number - Addition and subtractionLesson 1: Adding mentally (2)

1 a 16 293 g 35 197b 17 787 h 45 486c 24 762 i 40 382d 28 865 j 42 487e 32 298 k 46 192f 22 478 l 74 283

2 Answers will vary.

1 a 26 997 g 43 967b 28 597 h 43 566c 28 177 i 55 272d 34 857 j 48 296e 44 172 k 58 176f 49 263 l 58 287

2 Answers will vary.

1 a 55 542 f 75 198b 65 287 g 75 228c 59 417 h 87 198d 54 244 i 92 373e 72 183

2 a 540 e 7400b 6400 f 730c 730 g 480d 5700 h 7500

2 a 51 675 + 4000 + 300 + 20 = 55 995b 57 531 + 6000 + 400 + 30 = 63 961c 64 248 + 8000 + 200 = 72 448d 66 885 + 7000 + 300 + 90 = 74 275e 70 483 + 5000 + 900 + 10 = 76 393f 75 684 + 5000 + 500 + 50 = 81 234

Lesson 2: Written addition (1)

a 7938 g 13 883b 9378 h 9787c 11 993 i 9837d 15 487 j 14 002e 9689 k 10 184f 8579 l 16 947

1 a 53 938 g 96 430b 49 464 h 86 918c 80 752 i 89 364d 59 273 j 77 667e 63 964 k 94 933f 70 060 l 87 580

2 a 65 970 e 92 087b 76 859 f 91 021c 79 577 g 101 346d 83 316 h 105 023

1 a 44 655 g 92 551b 54 671 h 97 421c 49 251 i 88 291d 80 631 j 104 760e 82 461 k 100 232f 97 443 l 135 631

2 Answers will vary.

3 a 91 895 e 133 961b 105 709 f 136 123c 114 408 g 142 244d 120 221 h 146 502

4 a 17 732, 17 733, 17 734b 28 744, 28 745, 28 746c 19 101, 19 102, 19 103d 30 424, 30 425, 30 426e 27 263, 27 264, 27 265f 22 333, 22 334, 22 335

Lesson 3: Written addition (2)

1 a 26 827 g 48 882b 27 259 h 50 298c 29 885 i 63 758d 37 918 j 67 754e 44 789 k 74 192f 49 088 l 72 637

2 Answers will vary.

1 a 74 437 g 74 620b 60 553 h 97 232c 74 135 i 93 753d 74 223 j 86 310e 70 530 k 95 602f 63 350 l 96 278

2 Answers will vary.

3 a 18 380, 18 381b 21 153, 21 154c 23 001, 23 002d 27 067, 27 068e 30 214, 30 215

1 a 84 220 g 92 231b 73 310 h 93 110c 91 221 i 118 411d 91 220 j 124 331e 93 110 k 124 232f 94 242 l 138 251

2, 3 Answers will vary.

Lesson 4: Checking calculations

a 27 588 g 43 639 27 600 43 700b 35 346 h 60 538 35 300 60 600c 30 438 i 56 498 30 500 56 500d 45 373 j 68 766 45 300 68 700e 49 539 k 68 218 49 600 68 200f 38 559 l 79 933 38 500 79 900

1 a 49 791 f 75 353b 54 658 g 88 673c 51 262 h 87 462d 61 432 i 90 587e 67 574 j 97 443

2 Answers will vary.

3 490 numbers would be rounded down, 500 numbers would be rounded up and 10 numbers would not need to be rounded.

1 a 74 618 f 117 041b 97 050 g 120 842c 100 212 h 135 083d 96 870 i 131 261e 96 840 j 139 050

2 Answers will vary.

Unit 3, Week 2: Number - Decimals Lesson 1: Decimals as fractions

a 0·34 = 34100 g 0·85 = 85

100

b 0·45 = 45100 h 0·26 – 26

100

c 0·52 = 52100 i 0·03 = 3

100

d 0·68 = 68100 j 0·14 = 14

100

e 0·22 = 22100 k 0·91 = 91

100

f 0·74 = 74100

1 a 60100 f 4

100

b 52100 g 27

100

c 11100 h 10

100

d 90100 i 1

100

e 83100 j 99

100

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Pupil Book 5A

2 a 4 10100 f 8 6

100

b 3 98100 g 9 18

100

c 6 26100 h 12 60

100

d 6 90100 i 13 36

100

e 7 41100 j 17 93

100

3 Answers will vary.

1 a 6·46 = 6 46100 = 646

100

b 7·38 = 7 38100 = 738

100

c 5·7 = 5 70100 = 570

100

d 9·12 = 9 12100 = 912

100

e 4·08 = 4 8100 = 408

100

f 6·37 = 6 37100 = 637

100

g 3·5 = 3 50100 = 350

100

h 6·62 = 6 62100 = 662

100

i 8·40 = 8 40100 = 840

100

j 9·90 = 9 90100 = 990

100

2 Answers will vary.

Lesson 2: Decimal rounding and complements

1 a 1 e 3b 2 f 2c 1 g 4d 2 h 4

2 1 1.84 2

1 1.15 2

2 2.77 3

2 2.48 3

3 3.64 4

3 3.05 4

4 4.92 5

0 0.1 1

5 5.35 6

1 3 3.14 4

4 4.67 5

5 5.29 6

2 2.51 3

7 7.96 8

8 8.50 9

9 9.88 10

10 10.02 11

12 12.63 13

14 14.38 15

15 15.49 16

17 17.38 18

2 0·65 + 0·35 = 1 0·47 + 0·53 = 1 0·93 + 0·07 = 1 0·26 + 0·74 = 1 0·81 + 0·19 = 1 0·22 + 0·78 = 1 0·51 + 0·49 = 1 0·76 + 0·24 = 1 0·77 + 0·23 = 1 0·42 + 0·58 = 1 0·99 + 0·01 = 1 0·03 + 0·97 = 1

1 Answers will vary.

2 a 12·87 + 0·13 = 13b 14·62 + 0·38 =15c 17·15 + 0·85 = 18d 18·03 + 0·97 = 19e 19·98 + 0·02 = 20f 21·50 + 0·50 = 22g 26·48 + 0·52 = 27h 34·22 + 0·78 = 35

Lesson 3: Rounding to 1 decimal place

1·1 1·14 1·2

1·2 1·26 1·3

1·3 1·32 1·4

1·3 1·39 1·4

1·4 1·43 1·5

1·5 1·55 1·6

1·6 1·68 1·7

1·7 1·79 1·8

1·8 1·86 1·9

1·9 1·95 2

1 No answers

2 No answers

3 a 3·02 rounds down to 3·0b 3·12 rounds down to 3·1c 3·19 rounds up to 3·2d 3·35 rounds up to 3·4e 3·43 rounds down to 3·4f 3·51 rounds down to 3·5g 3·59 rounds up to 3·6h 3·65 rounds up to 3·7i 3·77 rounds up to 3·8j 3·96 rounds up to 4·0

4 a 4·3 f 7·3b 5·0 g 8·3c 5·7 h 9·8d 6·5 i 9·2e 7·0

1 a 3·45, 3·46, 3·47, 3·48, 3·49, 3·51, 3·52, 3·53, 3·54

b 5·55, 5·56, 5·57, 5·58, 5·59, 5·61, 5·62, 5·63, 5·64

c 6·85, 6·86, 6·87, 6·88, 6·89, 6·91, 6·92, 6·93, 6·94,

d 7·05, 7·06, 7·07, 7·08, 7·09, 7·11, 7·12, 7·13, 7·14

e 7·95, 7·96, 7·97, 9·98, 7·99, 8·01, 8·02, 8·03, 8·04

f 9·25, 9·26, 9·27, 9·28, 9·29, 9·31, 9·32, 9·33, 9·34

g 10·75, 10·76, 10·77, 10·78, 10·79, 10·81, 10·82, 10·83, 10·84

h 12·15, 12·16, 12·17, 12·18, 12·19, 12·21, 12·22, 12·23, 12·24

i 14·65, 14·66, 14·67, 14·68, 14·69, 14·71, 14·72, 14·73, 14·74

j 15·35, 15·36, 15·37, 16·38, 15·39, 15·41, 15·42, 15·43, 15·44

k 6·45, 6·46, 6·47, 6·48, 6·49, 6·51, 6·52, 6·53, 6·54

l 13·25, 13·26, 13·27, 13·28, 13·29, 13·31, 13·32, 13·33, 13·34

2 Answers will vary.

3 Game

Lesson 4: Decimal sequences

1 a 1·9 2·1 2·3 2·5 2·7b 3·8 4·0 4·2 4·4 4·6c 3·0 3·5 4·0 4·5 5·0d 1·6 2·0 2·4 2·8 3·2e 3·3 3·5 3·7 3·9 4·1f 6·8 7·1 7·4 7·7 8·0g 5·2 5·5 5·8 6·1 6·4h 9·0 9·5 10 10·5 11i 9·3 9·7 10·1 10·5 10·9j 7·4 7·6 7·8 8·0 8·2

2 a 1·48 1·49 1·50 1·51 1·52b 0·38 0·40 0·42 0·44 0·46c 2·17 2·19 2·21 2·23 2·25d 2·59 2·62 2·65 2·68 2·71e 3·85 3·87 3·89 3·91 3·93f 4·10 4·13 4·16 4·19 4·22g 4·72 4·75 4·78 4·81 4·84h 6·37 6·41 6·45 6·49 6·53i 7·80 7·85 7·90 7·95 8·0j 8·44 8·54 8·64 8·74 8·84

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1 a 2·1 2·3 2·5 2·7 2·9 3·1 3·3 3·5

b 3·3 3·6 3·9 4·2 4·5 4·8 5·1 5·4

c 3·8 4·0 4·2 4·4 4·6 4·8 5·0 5·2

d 5·4 5·6 5·8 6·0 6·2 6·4 6·6 6·8

e 0·1 0·3 0·5 0·7 0·9 1·1 1·3 1·5

f 2·1 2·6 3·1 3·6 4·1 4·6 5·1 5·6

g 2·0 2·5 3·0 3·5 4·0 4·5 5·0 5·5

h 6·0 6·4 6·8 7·2 7·6 8·0 8·4 8·8

2 Answers will vary.

3 a 0·48 0·50 0·52 0·54 0·56 0·58 0·60 0·62

b 1·22 1·24 1·26 1·28 1·30 1·32 1·34 1·36

c 1·54 1·57 1·60 1·63 1·66 1·69 1·72 1·75

d 2·12 2·16 2·20 2·24 2·28 2·32 2·36 2·40

e 5·63 5·66 5·69 5·72 5·75 5·78 5·81 5·84

f 7·56 7·66 7·76 7·86 7·96 8·06 8·16 8·26

g 2·82 3·82 4·82 5·82 6·82 7·82 8·82 9·82

h 2·11 2·16 2·21 2·26 2·31 2·36 2·41 2·46

4 Answers will vary.

1 Answers will vary.

2 Answers will vary.

Unit 3, Week 3 : Measurement (mass)Lesson 1: Converting masses

1 a 2500 g b 4100 g c 6250 gd 3300 g e 5700 g f 7900 g

2 a 6 kg 260 g b 9 kg 530 g c 6 kg 60 g d 9 kg 500 g e 6 kg 200 g f 9 kg 30 g

3 a 3 12 kg = 3.5 kg

b 3 14 kg = 3.25 g

c 3 34 kg = 3.75 kg

d 3 110 kg = 3.1 kg

e 3 710 kg = 3.7 kg

f 3 910 kg = 3.9 kg

4 a 2500 g b 4200 gc 3250 g d 1750 ge 3600 g f 2900 g

1 a 4 kg 350 g b 3 kg 920 g c 5 kg 180 g d 3 kg 20 g e 5 kg 80 g f 4 kg 50 g

2 a 4.35 kg b 3.92 kgc 5.18 kg d 3.02 kge 5.08 kg f 4.05 kg

3 a pack A 2·6 kg = 2600 g pack B 3·2 kg = 3200 g pack C 5·5 kg = 5500 g pack D 5·9 kg = 5900 g pack E 4·6 kg = 4600 g pack F 4·9 kg = 4900 gb pack A 0·26 kg = 260 g pack B 0·32 kg = 320 g pack C 0·55 kg = 550 g pack D 0·59 kg = 590 g pack E 0·46 kg = 460 g pack F 0·49 kg = 490 gc pack A 26 kg pack B 32 kg pack C 55 kg pack D 59 kg pack E 46 kg pack F 49 kg

1 585 kg

Lesson 2: Using metric and imperial units (1)

1 a 12 lb ≈ 250 g

b 14 lb ≈ 125 g

c 34 lb ≈ 375 g

2 a 250 g d 500 g b 375 g e 875 g

c 125 g

3 a 2 kg ≈ 4 lb b 5 kg ≈ 10 lb c 2.5 kg ≈ 5 lb

4 a 1 14 lb ≈ 625 g

b 4 12 lb ≈ 2250 g

c 2 34 lb ≈ 1375 g

1 a 4 12 kg ≈ 9 lb

b 3 14 kg ≈ 6 12 lb

c 6 34 kg ≈ 13 12 lb

d 9 14 kg ≈ 18 12 lb

2 a 8 kg c 9 kgb 6 kg d 12 kg

3 a i 230 g b i 34 lb

ii 450 g ii 2 lb

iii 790 g iii 114 lb

iv 570 g iv 14 lb

4 a false d falseb false e falsec true f true

1 a 1 lb c 3 14 lb

b 1 34 lb d 2 34 lb

Lesson 3: Mass problems

1 a 5·6 kg b 1·7 kg c 1·2 kg2 a 3·9 kg b 4·4 kg3 a 2·4 kg b 2 kg4 200 g

1 360 g2 15 eggs3 0.18 kg4 a 1.32 kg b 310 g5 6.81 kg

7 trips ABCD AC → BD A → BCD ACD → B AC → BD ABD → D AB → CD ABCD →

Lesson 4: At Sara’s Snack Bar

1 a 400 g, 0·4 kgb 300 g, 0·3 kgc 230 g, 0·23 kg

2 2·3 kg

1

Food itemNumber of sales

1 sale 10 sales 50 sales

baked potato 0·25 kg 2·5 kg 12·5 kg

quiche 0 09 kg 0·9 kg 4·5 kg

sandwich 0·175 kg 1·75 kg 8·75 kg

soup 0· 14 kg 1·4 kg 7 kg

2 scone doughnut cupcakea 90 g 70 g 80 gb 0·9 kg 0·7 kg 0·8 kgc 9 kg 7 kg 8 kg

3 0·72 kg

4 75 scones

5 a cat: 2·3 kg b kitten: 0·5 kg

1 a 44 kg b 39 kg c 20·5 kg

2 103·5 kg

Unit 4, Week 1: Number - Multiplication and divisionLesson 1: Square and cube numbers

1 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144

3Challenge

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2 12 = 1 × 1 = 1 22 = 2 × 2 = 4 32 = 3 × 3 = 9 42 = 4 × 4 = 16 52 = 5 × 5 = 25 62 = 6 × 6 = 36 72 = 7 × 7 = 49 82 = 8 × 8 = 64 92 = 9 × 9 = 81 102 = 10 × 10 = 100 112 = 11 × 11 = 121 122 = 12 × 12 = 144

1 13 = 1 × 1 × 1 = 1 23 = 2 × 2 × 2 = 8 33 = 3 × 3 × 3 = 27 43 = 4 × 4 × 4 = 64 53 = 5 × 5 × 5 = 125 63 = 6 × 6 × 6 = 216 73 = 7 × 7 × 7 = 343 83 = 8 × 8 × 8 = 512 93 = 9 × 9 × 9 = 729 103 = 10 × 10 × 10 = 1000

2 No answers

3 a 77 d 355b 99 e 1296c 155 f 729

4 × 35 = 2 × 2 × 5 × 73 × 270 = 9 × 3 × 10 × 316 × 25 = 4 × 5 × 5 × 436 × 25 = 6 × 5 × 5 × 68 × 8 × 10 × 9 = 64 × 90

Lesson 2: Multiplying ThHTO x O

1 a 36 j 6b 6 k 7c 48 l 9d 8 m 7e 8 n 5f 8 o 7g 12 p 1h 5 q 0i 8 r 6

2 a 21 f 64 210 640 2100 6400b 36 g 63 360 630 3600 6300c 42 h 32 420 320 4200 3200d 72 i 48 720 480 7200 4800e 49 490 4900

1 Approximate answers may vary.

2 a 10 638 f 71 104b 22 928 g 53 732c 28 240 h 51 102d 56 457 i 41 214e 23 916

1 a

6 5 2 7

× 3

1 9 5 8 1

b

3 6 2 8

× 9

3 2 6 4 3

c

4 8 3 2

× 4

1 9 3 2 8

d

4 3 7 5

× 8

3 5 0 0 0

e

6 7 8 4

× 4

2 7 1 3 6

f No solution

Lesson 3: Multiples and factors

1 6 → 6, 18, 30, 36, 42, 54, 72 7 → 21, 42, 56, 49, 63 8 → 32, 56, 64, 72 9 → 18, 36, 45, 54, 63, 72, 81

2 a 40: 2, 4, 5, 8, 10b 42: 3, 6, 7c 28: 4, 7d 25: 1, 5, 25e 30: 2, 3, 5, 6f 60: 3, 5, 6, 10, 12

1 a 24: 1 , 2 , 3 , 4, 6 , 8, 12, 24

30 :1 , 2 , 3 , 5, 6 , 10, 15, 30

b 36: 1 , 2 , 3, 4 , 6, 9, 12, 36

64: 1 , 2 , 4 , 8, 16, 32, 64

c 56: 1 , 2 , 4 , 7, 8 , 14, 28 , 56

80: 1 , 2 , 4 , 5, 8 , 10, 16, 20, 40,80

d 45: 1 , 3 , 5, 9 , 15, 45

18: 1 , 2, 3 , 6 , 9 , 18

e 32: 1 , 2 , 4 , 8 , 16 , 32

48: 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 , 48

f 60: 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 ,15 , 20 , 30 , 60

100: 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100

g 28: 1 , 2 , 4 , 7 , 14 , 28

42: 1 , 2 , 3 , 6 , 7 , 14 , 21, 42

h 20: 1 , 2 , 4, 5, 10, 20

54: 1 , 2 ,3, 6, 9, 18, 27, 54

i 50: 1 , 2 , 5 , 10, 25, 50

35: 1 , 5 , 7, 35

j 34: 1 , 2 , 17 , 34, 136

51: 1 , 3 , 17 , 51

k 56: 1 , 2 , 4 , 7 , 8 , 14, 28, 56

24: 1 , 2 , 3 , 4 , 6 , 8 , 12, 24

l 72: 1 , 2 , 3 , 4 , 6, 8, 9, 12, 18, 24, 36, 72

20: 1 , 2 , 4 , 5, 10, 20

2 a 3: 3 , 6 , 9 , 12 , 15 , 18 , 21 , 24

4 : 4 , 8 , 12 , 16 , 20 , 24 , 28, 32

b 4 : 4 , 8 , 12 , 16 , 20 , 24, 28, 32

5: 5 , 10 , 15 , 20 , 25, 30, 35, 40

c 3: 3 , 6 , 9 , 12 , 15 , 18 , 21 , 24

6: 6 , 12 , 18 , 24 , 30, 36, 42, 48

d 4 : 4 , 8 , 12 , 16 , 20 , 24 , 28, 32

6: 6 , 12 , 18 , 24 , 30, 36, 42, 48

e 12: 12 , 24 , 36 , 48 , 60 , 72, 84 , 96

16: 16 , 32 , 48 , 64 , 80 , 96 , 112, 128

f 15: 15 , 30 , 45 , 60 , 75 , 90, 105, 120

25: 25 , 50 , 75 , 100, 125, 150, 175, 200

g 25: 25 , 50 , 75 , 100 , 125 , 150 , 175 , 200

50: 50 , 100 , 150 , 200 , 250 , 300 , 350 , 400

h 8: 8 , 16 , 24 , 32 , 40 , 48 , 56, 64

12: 12 , 24 , 36 , 48 , 60, 72, 84, 96

i 6: 6 , 12 , 18 , 24 , 30 , 36 , 42, 48

9: 9 , 18 , 27 , 36 , 45, 54, 63, 72

Answers will vary.

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Lesson 4: Solving word problems (1)

a 430 g 73b 42 h 312c 40 i 12d 182 j 63e 36 k 72f 56 l 208

a 2330 bananasb 1273 oranges c 1615 orangesd 3900 blueberriese £1.80f 65pg 612 applesh No because multiples of 25 end in 25,

50, 75 or 00.i No, he would need 1125 strawberries.

Answers will vary.

Unit 4, Week 2: Number - Multiplication and divisionLesson 1: Prime numbers

a 36: 2, 3, 4, 6b 50: 2, 5, 10c 24: 2, 3, 4, 6, 8, 12d 20: 2, 4, 5, 10e 48: 3, 4, 6, 8f 56: 7

1 prime

2:1, 2 23:1, 23

3:1, 3 29:1, 29

5:1, 5 31:1, 31

7:1, 7 41:1, 41

11:1, 11 43:1, 43

13:1, 13

17:1, 17

19:1, 19

composite

9:1, 3, 9 45:1,3, 5, 9, 15, 45

12:1, 2, 3, 4, 6, 12 49:1, 7, 49

14:1, 2, 7, 14 51:1, 3, 17, 51

15:1, 3, 5, 15 54:1, 2, 3, 6, 9, 18, 27, 54

21:1, 3, 7, 21 63:1,3, 7, 9, 21, 63

26:1, 2, 13, 26 70:1,2,7,10, 14, 35, 70

33:1, 3, 11, 33 81: 1, 3, 9, 27, 81

39:1, 3, 13, 39 99:1, 3, 9, 11, 33,99

100: 1,2,4,5,10, 20, 25, 50, 100

2 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

All odd numbers are prime numbers: Incorrect as many odd numbers have factors other than itself and 1. All even numbers are composite numbers: Incorrect . All even numbers except 2 are composite. 2 is a prime number as it only has 2 factors, itself and 11 is the smallest prime number: Incorrect. 1 is neither prime nor composite.7 is a prime number so all numbers ending in 7 must be prime: Incorrect. Many numbers ending in 7 have more than 2 factors, e.g. 27 has the factors 1, 3, 9, 27

Lesson 2: Division involving multiples of 10, 100, 1000

1 a 6 b 6 c 62 a 9 b 9 c 93 a 36 b 36 c 364 a 47 b 47 c 475 a 6300 b 630 c 636 a 540 b 54 c 54

1 a 21 ÷ 3 = 7 f 72 ÷ 9 = 8b 36 ÷ 4 = 9 g 64 ÷ 8 = 8c 63 ÷ 9 = 7 h 42 ÷ 6 = 7d 56 ÷ 8 = 7 i 28 ÷ 7 = 4e 49 ÷ 7 = 7

2 a 210 ÷ 3 = 70b 4900 ÷ 70 = 70c 6300 ÷ 900 = 7d 630 ÷ 90 = 7e 49000 ÷ 700 = 70f 360 ÷ 40 = 9g 72000 ÷ 9 = 8000h 560 ÷ 8 = 70i 36000 ÷ 400 = 90j 56000 ÷ 8000 = 7k 6300 ÷ 9 = 700l 2100 ÷ 30 = 70m 490 ÷ 70 = 7n 560 ÷ 8 = 70o 7200 ÷ 90 = 80p 4200 ÷ 6 = 700q 640 ÷ 80 = 8r 6400 ÷ 80 = 80s 2800 ÷ 70 = 400t 42 000 ÷ 60 = 700u 2800 ÷ 700 = 4

1 a 100 g 54 000b 4800 h 3200c 80 i 4000d 900 j Answers will vary.e 20 k Answers will vary.f 36 000 l 4200

2 Answers will vary.

Lesson 3: Division ThHTO ÷ O using mental methods

1 a 9 j 9b 32 k 2c 6 (60) l 7, 7d 1, 3 or 8, 4 m 84e 8 n 8f 4 o 9g 3 (30), 4 p 10h 0, 5 q 9, 9 or 3, 27i 63 r 3, 7

2 a 2 g 9 20 90 200 900b 6 h 7 60 700 600 70c 4 i 4 40 400 400 40d 9 j 70 90 7 900 700e 7 k 700 70 70 700 7f 6 l 700 60 7 600 70

1 a 81 k 71b 81 l 91c 802 m 806d 408 n 805e 1206 o 408f 93 p 51g 72 q 73h 803 r 807i 604 s 710j 903 t 910.5

Answers will vary.

Lesson 4: Solving problems

1

a 1 2 4 8 16 32 64 128

b 5 10 20 40 80 160 320 640

c 3 6 12 24 48 96 192 384

d 7 14 28 56 112 224 448 896

2 a 140 g 290 m 465 b 230 h 370 n 395 c 320 i 460 o 255 d 210 j 270 p 65 e 420 k 175 f 180 l 285

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Pupil Book 5BUnit 5, Week 1: Number - Number and place valueLesson 1: 6-digit numbers

1 a 28 651 = 20 000 + 8000 + 600 + 50 + 1

b 31 628 = 30 000 + 1000 + 600 + 20 + 8

c 45 237 = 40 000 + 5000 + 200 + 30 + 7

d 58 105 = 50 000 + 8000 + 100 + 5e 39 444 = 30 000 + 9000 + 400 + 40

+ 4f 63 810 = 60 000 + 3000 + 800 + 10

2 Answers will vary.

3 a 16 922 39 163 43 81152 761 53 178 83 621

b 30 836 31 243 34 82335 144 37 812 39 264

c 28 097 28 204 28 31228 476 28 576 28 599

d 56 072 56 333 56 98365 308 65 365 65 411

e 10 673 10 763 12 36712 763 13 703 17 306

f 78 650 78 651 78 65378 654 78 655 78 659

1 a 164 821 = 100 000 + 60 000 + 4000 + 800 + 20 + 1

b 272 927 = 200 000 + 70 000 + 2000 + 900 + 20 + 7

c 406 366 = 400 000 + 6000 + 300 + 60 + 6

d 793 141 = 700 000 + 90 000 + 3000 + 100 + 40 + 1

e 804 782 = 800 000 + 4000 + 700 + 80 + 2

f 577 226 = 500 000 + 70 000 + 7000 + 200 + 20 + 6

2 Answers will vary.

3 Answers will vary.

1 a 720 f 432b 608 g 960c 1344 h 480d 481 i 416e 476

2 Answers will vary.

1 a iv 17 × 21 9 (odd one as both numbers are odd)

b iii 23 x 17 (odd one out as both numbers are odd)

c iii 17 × 19 (odd one as both numbers are odd)

d iii 15 × 45 (odd one as both numbers are odd)

Unit 4, Week 3: Measurement (time)Lesson 1: Problems involving 12- and 24-hour clocks

1 a 8:15 d 9:55b 7:20 e 1:10c 8:35 f 3:50

2 a 7:45 p.m. d 11:30 p.m.b 2:40 p.m. e 4:24 p.m.c 9:06 p.m. f 6:51 p.m.

1 a Paul, 270 sec, Leah 230 sec, Yasmin 248 sec

b i 34 sec ii 40 sec iii 18 secc 2 min 8 sec

2 Aberdeen 9:50 a.m. Oslo 10:14 a.m. Paris 11:32 a.m. Dubai 12:45 p.m. New York 1:16 p.m. Rome 1:38 p.m.3 a Paris d 20 min

b Aberdeen e 35 minc 26 min f 37 min

1 Possible rota: A B C D B C D A C D A B D C B C

2 Lunch break start times: 11:45 12:20 12:55 13:30

Lesson 2: Timely calculations

1 a Mr Adams 20 minMr Nassem 35 minMrs Duncan 20 min

b i 12:50 ii 13:20 iii 13:30

2 13:55

a tennis coachingb canoeingc water ski-ingd rock climbinge Answers will vary.f i 18:05

ii 4 h 5 min

1 10:212 The hour 05 to 09

Lesson 3: Time problems

a 120 sec f 240 hb 240 sec g 14 daysc 120 min h 49 daysd 360 min i 24 monthse 48 h j 60 months

1 a 300 monthsb 480 monthsc 600 months

2 2 years 270 days

3 August 1812

4 a 7 weeks 2 daysb 8 weeks 5 daysc 16 weeks

5 1825 days

6 2 July

1 a 776 BC to 2014 AD is 2790 years.b 1168 years

2 293 games

3 2672 years

4 27 games

Lesson 4: More time problems

1 a 35 days b 49 days c 70 days

2 a 36 months b 72 months c 108 months

3 a 120 months b 520 weeks

1 a 6 h 40 min e 2 h 44 minb 5 h 30 min f 3 h 16 minc 1 h 24 min g 7 h 34 mind 2 h 16 min

2 16 h 30 min

3 5 h 30 min

4 5 trips to Edinburgh and 5 trips to Glasgow

5 a 4 h 32 minb 9 h 4 minc 18 h 8 min

17:44

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4 a 548 624 e 728 700b 402 388 f 620 286c 527 660 g 583 400d 299 654 h 200 000

1 a Answers will vary.b Answers will vary.c Answers will vary.d Answers will vary.

2 Answers will vary.

Lesson 2: 6-digit counting and rounding (1)

1 a 27 876 count on in tens to 27 976 19 872 count on in tens to 19 972 52 263 count on in tens to 52 363 84 728 count on in tens to 84 828 b 27 876 count back in tens to 27 776

19 872 count back in tens to 19 772 52 263 count back in tens to 52 163 84 728 count back in tens to 84 628

c 27 876 count on inhundreds to 28 876

19 872 count on inhundreds to 20 872

52 263 count on inhundreds to 53 263

84 728 count on inhundreds to 85 728

d 27 876 count back in hundreds to 27 876

19 872 count back in hundreds to 18 872

52 263 count back in hundreds to 51 263

84 728 count back in hundreds to 83 728

2 a 27 680 51 820 36 190 65 750 76 440 48 660 b 27 700 51 800 36 200 65 800 76 400 48 700

1 a 417 535 count back in tens to 417 435

375 937 count back in tens to 375 837

605 862 count back in tens to 605 762

744 281 count back in tens to 744 181

b 417 535 count on in hundreds to 418 535

375 937 count on in hundreds to 376 937

605 862 count on in hundreds to 606 862

744 281 count on in hundreds to 745 281

c 417 535 count on in thousands to 427 535

375 937 count on in thousands to 385 937

605 862 count on in thousands to 615 862

744 281 count on in thousands to 754 281

d 417 535 count back in thousands to 407 535

375 937 count back in thousands to 365 937

605 862 count back in thousands to 595 862

744 281 count back in thousands to 734 281

2 a 762 650 762 653 762660

b 259 840 259 841 259 850

c 573 290 573 295 573300

d 682 930 682 936 682 940

e 965 110 965 112 965 120

f 804 450 804 455 804 460

3 a 762 600 762 653 762 700

b 259 800 259 841 259 900

c 573 200 573 295 573 300

d 682 900 682 936 683 000

e 965 100 965 112 965 200

f 804 400 804 455 804 500

4 a 762 000 762 653 763 000

b 259 000 259 841 260 000

c 573 000 573 295 574 000

d 682 000 682 936 683 000

e 965 000 965 112 966 000

f 804 000 804 455 805 000

1 Answers will vary.

2 No answers.

Lesson 3: Negative numbers

1 a –4 count back to –14b –9 count back to –19c –15 count back to –25d –20 count back to –30e –34 count back to –44f –42 count back to –52g –50 count back to –60h –63 count back to –73

2 a –18 –17 –16b –26 –25 –24c –40 –39 –38d –48 –47 –46e –51 –50 –49f –66 –65 –64g –78 –77 –76h –82 –81 –80i –60 –59 –58j –87 –86 –85k –91 –90 –89l –96 –95 –94

1 a –11 g –4b –19 h –68c –26 i –62d –42 j –3e –47 k –77f –54 l –1

2 a –38 g –6b –47 h –3c –59 i –30d –65 j –1e –9 k –68f –94 l –12

3 a –2 e –16b –10 f –11c –7 g –11d –12

1 a 0 count back in threes to –30b –4 count back in threes to –34c –22 count back in threes to –52d –35 count back in threes to –65e –47 count back in threes to –77f –59 count back in threes to –89g –66 count back in threes to –96h –86 count back in threes to –116

2 a –3 °C d 6 °Cb –12 °C e 3 °Cc –21 °C f 11 °C

Lesson 4: Negative problems

1 –£180

2 28°C

3 8 weeks

4 11°C

5 –£23

1 –£22.70

2 –£12.89

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Busy Ant Yr5 TG Ans [XXX-XXX].indd 559Busy Ant Yr5 TG Ans [XXX-XXX].indd 559 02/07/2014 15:2502/07/2014 15:25

Pupil Book 5B

3 50 °C

4 £290.70

5 20 °C

6 – £2317

1 29.5°C

2 –£346.55

3 £11 208

4 Answers will vary.

5 Answers will vary.

Unit 5, Week 2: Number - Addition and subtractionLesson 1: Subtracting mentally (3)

1 a 19 215 g 36 617b 18 187 h 39 175c 20 761 i 39 872d 29 338 j 46 166e 34 458 k 47 982f 29 761 l 45 387

1 a 23 137 e 37 911b 23 325 f 34 996c 31 332 g 43 537d 29 186 h 39 187

2 a 115 738 e 226 298b 162 498 f 151 782c 89 386 g 384 386d 247 276 h 127 318

3 Answers will vary.

1 a 44 952 g 427 897b 48 631 h 291 243c 67 455 i 515 297d 68 962 j 599 026e 73 862 k 257 382f 86 578 l 593 621

2 a 350 g 40 000b 5900 h 8000c 740 i 300 000d 6400 j 60 000e 7200 k 5000f 730 l 50 000

Lesson 2: Written subtraction (1)

1 a 2733 g 4845b 3228 h 2348c 2282 i 7058d 3525 j 5848e 3183 k 3839f 3565 l 5394

1 a 5789 g 31 734b 7798 h 25 637c 5763 i 19 348d 8287 j 25 666e 13 632 k 36 864f 25 546 l 35 281

2 Answers will vary.

3 a 68 476 – 25 982 = 42 492 b 79 408 – 26 539 = 52 869

4 Answers will vary.

1 a 9478 f 27 359b 14 779 g 24 687c 14 878 h 25 769d 17 187 i 28 715e 33 669

2 Answers will vary.

3 a 4667 c 27 999 b 20 001 d 40 004

Lesson 3: Written subtraction (2)

1 a 5086 g 23 221b 14 574 h 14 137c 12 755 i 17 332d 12 444 j 22 751e 17 481 k 17 120f 21 852 l 25 661

1 a 16 878 f 42 649b 13 678 g 36 298c 14 876 h 36 549d 18 575 i 46 478e 35 957

2 a 138 138 f 291 738b 173 725 g 272 668c 223 618 h 286 465d 155 847 i 381 177e 282 187

3 No answers.

4 Answers will vary.

1 a 193 778 g 464 833b 172 679 h 476 769c 327 779 i 557 376d 293 689 j 473 698e 428 778 k 448 349f 275 978 l 426 488

2 No answers.

3, 4 Answers will vary.

Lesson 4: Adding and subtracting decimals

1 a 591·97 f 497·67b 688·78 g 718·27c 559·37 h 736·38d 588·37 i 836·17e 578·29 j 774·25

2 a 242·24 f 451·84b 212·24 g 395·76c 232·76 h 360·72d 352·75 i 264·66e 422·74 j 390·91

3 Answers will vary.

1 a 6369·19 f 8839·29b 5919·25 g 9308·09c 6808·18 h 12 302·17d 5579·29 i 14 097·61e 8617·27 j 13 376·24

2 a 4332·81 f 2510·92b 4211·81 g 5170·91c 1825·62 h 3671·86d 2231·7 i 2874·58e 3252·62 i 3927·27

3 Answers will vary.

1 a 37 693·35 f 93 852·19b 62 529·28 g 96 565·18c 59 950·01 h 121 959·39d 73 638·1 i 142 728·59e 70 229·08 j 123 486·31

2 a 24 177·85 f 24 166·53b 26 994·92 g 25 560·71c 24 748·79 h 8 077·34d 18 355·9 i 27 777·78e 24 610·64 j 45 191·71

Unit 5, Week 3: Geometry - Properties of shapesLesson 1: Naming angles

1 a reflex d acuteb obtuse e obtusec reflex f acute

2 f, d, b, e, a, c

1 a acute e reflexb obtuse f reflexc acute g acuted obtuse h obtuse

2 a angles a, c and gb angles e and fc angles d and h

3 angle f

All questions are true

Lesson 2: Measuring angles

1 ∠a = 120° ∠b =50° ∠c = 100° ∠d = 150° ∠e = 30°

1 ∠a = 35° ∠b = 45° ∠c = 120° ∠d = 50° ∠e = 45° ∠f = 50° ∠g = 35° ∠h = 120°

2 ∠a and ∠g = 35° ∠b and ∠e = 45° ∠c and ∠h = 120° ∠d and ∠f = 50°

3 Answers will vary.

4 Answers will vary.

1 ∠a and ∠b = 70° ∠c and ∠d = 94° ∠e and ∠f = 103° ∠g and ∠h = 52°

2 Answers will vary.

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Lesson 3: Drawing angles

1, 2 Answers will vary.

1, 2, 3 Answers will vary.

Answers will vary.

Lesson 4: Identifying angles

1 a 50° b 20° c 35°

2 a 60° b 95°

1 a 115° d 42°b 58° e 86°c 133° f 45°

2 a 250° c 132°b 200° d 107°

3 a 45° b 50° c 60°

a 90° b 180° d 360°

Unit 6, Week 1: Number - Multiplication and divisionLesson 1: Division HTO ÷ O with a remainder

1 a 20 e 32b 40 f 16c 24 g 36d 8 h 28

2 a 12 e 72b 36 f 24c 54 g 18d 60 h 42

3 a c

3

i 73

ii 51 r1

iii 111 r1

iv 52 r1

v 82r2

6

i 61 r1

ii 31 r2

iii 41

iv 110 r1

v 91

b d

5

i 71 r2

ii 91

iii 50 r2

iv 91 r3

v 110 r1

9

i 21

ii 61

iii 70 r1

iv 110 r1

v 80 r3

1

a 93 b 64 r2 c 41 r3 d 71 r1 e 123 r3 f 83 r2

g 64 r3 h 88 i 39 r3 j 61 r7 k 53 r4 l 96 r6

2 Answers will vary.

Answers will vary.

Lesson 2: Division HTO ÷ O with a fraction remainder

6 → 24, 36, 42, 48, 54, 60, 72, 90, 967 → 14, 21, 35, 42, 568 → 24, 32, 48, 56, 72, 969 → 27, 36, 45, 54, 72, 90

1 a 86 14 g 62 12

b 57 14 h 94 23

c 74 23 i 39 35

d 46 12 j 94 13

e 122 34 k 91 23

f 33 14 l 97

2 Answers will vary.

Answers will vary.

Lesson 3: Division HTO ÷ O with a decimal remainder

1 21, 12, 15, 30, 27, 27, 24, 9

2 8, 56, 32, 48, 16, 72, 24, 40

3 40 tenths 30 tenths 20 tenths 10 tenths 80 tenths 60 tenths 50 tenths 90 tenths

4 20 hundredths 10 hundredths 40 hundredths 50 hundredths 60 hundredths 90 hundredths 30 hundredths 70 hundredths

a 32·8 g 79b 49·5 h 40·83c 62·5 i 109·5d 46·5 j 87·66e 98·2 k 49·5f 68·75 l 154·6

1 a £170.40 each d £43.50b 134.6 km e £179c £75.50

2 Answers will vary.

3 Answers will vary.

4 Answers will vary.

Lesson 4: Solving word problems: rounding remainders

a 8 r4 g 9 r4b 9 r3 h 8 r4c 8 r3 i 9 r1d 9 r4 j 9 r7e 10 r6 k 8 r4f 6 r5 l 5 r4

a 63 boxes f 168 packsb 74 times g 135 hot dogsc £795 h 218 ridesd 14 times i No, they need e 94 tickets another £10.

Answers will vary.

Unit 6, Week 2: Number - FractionsLesson 1: Thousandths

1 a 310 g 25

100

b 710 h 34

100

c 210 i 6

100

d 810 j 43

100

e 510 k 99

100

f 910 l 52

100

1 a 3001000 d 900

1000

b 7001000 e 200

1000

c 5001000 f 600

1000

2 c 5001000

3 a 310 = 30

100 = 3001000

b 710 = 70

100 = 7001000

c 510 = 50

100 = 5001000

d 910 = 90

100 = 9001000

e 210 = 20

100 = 2001000

f 610 = 60

100 = 6001000

1 a 110 = 10

100 = 1001000

b 710 = 70

100 = 7001000

c 410 = 40

100 = 4001000

d 910 = 90

100 = 9001000

e 210 = 20

100 = 2001000

f 510 = 50

100 = 5001000

2 a 23100 = 230

1000 e 14100 = 140

1000

b 65100 = 650

1000 f 75100 = 750

1000

c 48100 = 480

1000 g 34

d 81100 = 810

1000

3 Answers will vary.

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Pupil Book 5B

Lesson 2: Fractions in order

1 a 12 9

12 e 58 3

4

b 25 3

4 f 27 1

3

c 23 7

9 g 23 5

6

d 15 11

15 h 35 16

20

1 a 13 1

2 912

b 25 1

2 34

c 23 14

18 79

d 15 2

3 1115

e 1016 5

8 34

f 521 2

7 13

g 13 2

3 56

h 35 7

10 1620

i 12 3

5 710

2 89

3, 4 Answers will vary.

1 a 412 6

8 34

b 35 18

25 910

c 28 9

32 12

d 15 4

6 2330

e 1120 73

100 810

f 12 5

8 46

g 315 1

3 25

h 2440 3

5 58

i 12 9

14 57

2 a 824 = 4

12 = 26 = 1

3

b 1220 = 6

10 = 35

c 812 = 4

6 = 23

d 2432 = 12

16 = 68 = 3

4

3 Answers will vary.

4 Answers will vary.

Lesson 3: Adding fractions

1 a 45 e 1 25

b 78 f 1 3

10

c 1 16 g 1 59

d 1 38 h 1 112

2 Answers will vary.

1 a 1 i 12

b 910 j 1 8

15

c 1012 k 5

8

d 1 l 45

e 710 m 1 14

f 1 16 n 12

g 56 o 1 13

h 1 512

2 Answers will vary.

3 a 1112 c 3

20

b 78 d 4

10

4 No answers

1 a 3128 f 25

24

b 2215 g 52

42

c 610 h 37

33

d 1112 i 17

24

e 1518 j 25

21

2 a 1 328 f 1 1

24

b 1 715 g 1 10

42

c 610 h 1 4

33

d 1112 i 1 17

24

e 1518 j 1 4

21

Lesson 4: Subtracting fractions

1 a 38 e 6

7

b 56 f 5

8

c 610 g 6

5

d 33 h 5

4

2 Answers will vary.

1 a 512 g 9

10

b 68 h 8

6

c 89 i 1

d 1510 j 1

e 614 k 2

f 2720 l 5

3

2 Answers will vary.

3 a 1 18 miles c 1 112 cups

b 112 , 10 m d 9

10 litres

1 a 3918 i 9

8

b 2136 j 4

5

c 3635 k 14

15

d 3740 l 48

35

e 1630 m 21

20

f 1321 n 9

10

g 2830 o 19

15

h 5042 p 31

14

2 a 2 318 i 1 18

b 2136 j 4

5

c 1 135 k 14

15

d 3740 l 1 13

35

e 1630 m 1 1

20

f 1321 n 9

10

g 2830 o 1 4

15

h 1 842 p 2 3

14

3 a 1824 = 6

8 = 34

b No answers.

Unit 6, Week 3: Measurement (length)Lesson 1: Converting lengths

1 a i 25 mm ii 2.5 cm b i 48 mm ii 4.8 cm c i 64 mm i 6.4 cm

1 a 1320 m c 2080 mb 530 m d 3820 m

2 a 4·17 km c 12·57 kmb 6·09 km d 20·03 km

3 a 7·5 m d 1·36 mb 6·4 m e 0·99 mc 28·1 m f 1·04 m

4 a, b Ben Lewis 650 m, 0·65 km Ben Mull 710 m, 0·71 km Ben Staffa 840 m, 0·84 km Ben Jura 570 m, 0·57 km Ben Lochy 830 m, 0·83 km

5 10 820 m, 12·85 km, 16 700 m, 19 12 km, 21 km 50 m

1 All answers resolve to 1089.

Lesson 2: Using metric and imperial units (2)

1 2 inches ≈ 5 cm 4 inches ≈ 10 cm 5 inches ≈ 12.5 cm 6 inches ≈ 15 cm 10 inches ≈ 25 cm

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Pupil Book 5B

2 Answers will vary.

3 a 7.5 cm = 3 inchesb 10 cm = 4 inchesc 12.5 cm = 5 inches

1 Answers will vary.

2 Line a (15 cm) ≈ line f (6 inches) Line c (17·5 cm) ≈ line h (7 inches) Line e (20 cm) ≈ line d (8 inches) Line g (100 mm) ≈ line b (4 inches)

3 a 12·5 cm d 30 cmb 25 cm e 60 cmc 35 cm f 90 cm

4 a 180 cm c 130 cmb 40 cm d 48 inches

1 2 cm

2 a £0.50 b £1.25 c £10

Lesson 3: Lengths and distances

1 a 4200 m, 4 km 420 m, 4·5 kmb 390 m, 3000 m, 3·5 kmc 2 m 8 cm, 279 cm, 2·8 md 2·1 cm, 180 mm, 20 cm

2 a Lexie b 4 cm

1 a 0·9 km b 4·5 km

2 a 20 mm b 260 mm3 a 12·18m, 1216 cm, 12·01 m,

11 950 mm, 1187 cm, 11·83 mb i 2 cm ii 23 cm iii 35 cmc 6 cm

4 a 11·25 m b 3·75 m c 1·78 m

Rectangle A B C D E

Perimeter (cm) 12 20 28 36 44

Lesson 4: Multiple lengths

1 A l = 35 cm, h = 40 cm B l = 25 cm, h = 15 cm

2 0·1 m

3 0·25 m

1 A l = 60 cm, h = 75 cmB l = 95 cm, h = 30 cmC l = 105 cm, h = 85 cmD l = 214 cm, h = 60 cm

2 0.55 m

3 A, B and D

4 a 2.4 m b 4.8 m

5 a 1 m b 0.9 m

1 Answers will vary.

2

Pattern A B C D

Height (mm) 300 600 900 1200

Width (mm) 200 400 600 800

Number oftiles 1 4 9 16

3 a h = 1500 mm, w = 1000 mmb h = 1800 mm, w = 1200 mm

Unit 7, Week 1: Number - Decimals Lesson 1: Decimal thousandths

1 a 0·45 e 0·48b 0·12 f 0·99c 0·68 g 0·54d 0·29 h 0·07

2 No answers.

1 a 0·461 g 0·989b 0·102 h 0·384c 0·834 i 0·136d 0·529 j 0·842e 0·903 k 0·937f 0·255 l 0·736

2 No answers.

3 Answers will vary.

1 Answers will vary.

2 a 0·011 g 0·045b 0·009 h 0·061c 0·078 i 0·124d 0·001 j 0·283e 0·006 k 0·111f 0·099 l 0·406

3 Answers will vary.

4 541000 = 0·054

Explanations will vary.

Lesson 2: Ordering thousandths

1 a 0·276 0·277 0·278 0·279 0·280 0·281

b 0·158 0·159 0·160 0·161 0·162 0·163

c 1·641 1·642 1·643 1·644 1·645 1·646

d 2·317 2·318 2·319 2·320 2·321 2·322

e 3·854 3·855 3·856 3·857 3·858 3·859

f 3·903 3·904 3·905 3·906 3·907 3·908

g 4·008 4·009 4·010 4·011 4·012 4·013

h 4·744 4·745 4·746 4·747 4·748 4·749

i 4·078 4·079 4·080 4·081 4·082 4·083

j 5·835 5·836 5·837 5·838 5·839 5·840

k 6·038 6·039 6·040 6·041 6·042 6·043

l 7·934 7·935 7·936 7·937 7·938 7·939

1 a 0·183 0·286 0·386 0·482 0·589 0·863

b 1·002 1·082 1·148 1·262 1·629 1·735

c 2·007 2·529 2·629 2·721 2·761 2·812

d 5·101 5·273 5·286 5·297 5·398 5·981

e 4·308 4·309 4·343 4·361 4·387 4·392

f 7·215 7·289 7·291 7·602 7·287 7·659

g 8·206 8·216 8·683 8·825 8·827 8·911

h 9·013 9·018 9·354 9·377 9·721 9·726

i 6·005 6·075 6·555 6·675 6·756 6·757

j 3·011 3·021 3·102 3·121 3·211 3·222

2 a 2·386 2·387 2·388b 3·208 3·209 3·210c 5·113 5·114 5·115d 6·803 6·804 6·805e 1·054 1·055 1·056f 7·851 7·852 7·853g 6·254 6·255 6·256h 8·887 8·888 8·889i 9·004 9·005 9·006j 8·077 8·078 8·079k 7·044 7·045 7·046l 8·616 8·617 8·618m 5·298 5·299 5·300n 7·300 7·301 7·302p 8·000 8·001 8·002p 3·332 3·333 3·334

1 a 2·645 < 2·821b 4·831 > 4·762c 5·558 > 5·539d 7·028 < 7·038e 8·156 < 8·172f 9·628 < 9·691g 6·529 > 6·527h 3·877 > 3·866i 4·003 > 4·001j 6·937 < 6·973k 1·626 < 1·627l 9·999 > 9·909

2 Answers will vary.

Lesson 3: Rounding and ordering

1 a 8 e 4b 6 f 5c 9 g 7d 2 h 2

2 a 1·265 1·326 1·587 1·873b 4·355 4·615 4·738 4·972c 6·013 6·308 6·478 6·592d 2·062 2·198 2·465 2·643e 5·391 5·408 5·635 5·752f 3·117 3·442 3·881 3·992

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1 a 3 3·2 3·21 b 5 5·36 5·4c 4·78 4·8 5d 8·9 8·92 9e 1 1·45 1·50f 7·5 7·51 8g 6·98 7·0 7h 9 9·08 9·1i 5 5·3 5·34j 2·7 2·72 3

2 a 2·081 2·301 2·315 2·762 2·812 2·852

b 5·001 5·133 5·222 5·562 5·817 5·926

c 4·003 4·011 4·013 4·018 4·081 4·088

d 7·879 7·888 7·898 7·987 7·997 7·998

e 2·225 2·252 2·522 2·525 2·552 2·555

f 8·012 8·014 8·029 8·126 8·129 8·192

3 a 2·899 f 6·002b 4·130 g 4·518c 7 h 5·924d 8·010 i 4·004e 3·112 j 7·570

1 Answers will vary.

2 a 6·002 6·262 6·6096·669 6·962 6·996

b 2·19 2·83 2·8722·91 2·982 2·992

c 4·03 4·05 4·34·35 4·5 4·55

d 7·26 7·265 7·627·625 7·65 7·652

e 0·3 0·33 0·370·7 0·73 0·77

f 5·005 5·015 5·055·1 5·5 5·505

Lesson 4: Decimal problems

1 a 0·065 m b 0·03 m

2 31·72 s 33·15 s 34·2 s 34·52 s 2·8 s

3 a 8·2 km b 2·8 km c 2·8 s

4 £4

1 a 0·151 m c 0·053 m b 0·026 m

2 a 6·31 s b 127·33 s

3 13·81 km

4 0·783 kg

5 Answers will vary.

1 0·125 m2 a 37·95 s 37·9 s 37·29 s 37·09 s

b 0·86 sc 0·59 s

3 53·945 km

4 1·075 kg 0·995 kg

Unit 7, Week 2: Number - Addition and subtractionLesson 1: Adding decimals

1 a 0·8 e 1·4b 0·8 f 1·5c 0·8 g 1·4d 1·2 h 1·7

2 a 0·57 e 0·88b 0·53 f 0·92c 0·73 g 0·87d 0·83 h 0·89

1 No answers·

2 a 1·19 e 1b 1·23 f 1·15c 1·15 g 1·61d 1·12 h 1·39

3 Answers will vary.

1 Answers will vary.

2 Answers will vary.

Lesson 2: Subtracting decimals

1 a 0·2 e 0·4b 0·6 f 0·7c 0·5 g 0·8d 0·7 h 0·8

2 a 0·22 e 0·29b 0·12 f 0·68c 0·39 g 0·37d 0·45 h 0·39

1 Answers will vary·

2 a 0·86 e 0·67b 0·68 f 0·67c 0·74 g 0·43d 0·79 h 1·14

3 Answers will vary.

1 Answers will vary·

2 a 0·77 g 1·19b 1·11 h 1·44c 0·78 i 1·46d 0·56 j 1·36e 0·3 k 1·67f 1·44 l 3·64

3 a 0·25 e 0·46b 0·33 f 0·37c 0·52 g 0·6d 0·68 h 0·44

Lesson 3: Whole number and decimal calculations

1 a 7·8 e 8·1b 7·8 f 11·2c 8·9 g 13·3d 9·4 h 13

2 a 5·3 e 2·9b 2·3 f 2·8c 3·8 g 3·6d 2·8 h 3·7

1 Answers will vary.

2 Answers will vary.

3 a 5·19 + 3·65 = 8·84 3·65 + 5·19 = 8·84 8·84 – 3·65 = 5·19 8·84 – 5·19 = 3·65

b 4·37 + 2·76 = 7·13 2·76 + 4·37 = 7·13 7·13 – 2·76 = 4·37 7·13 – 4·37 = 2·76

c 6·05 + 1·89 = 7·94 1·89 + 6·05 = 7·94 7·94 – 1·89 = 6·05 7·94 – 6·05 = 1·89

4 a 0·89; 8·33b 2·14; 12·22c 3·39; 12·63d 6·01; 12·51e 4·46; 10·16

a 5·91 f 12·31b 8·44 g 5·63c 4·64 h 21·09d 4·71 i 33·81e 4·3 j 3·18

Lesson 4: Decimal walls

a 17·3 6·1 11·20 0·7 2·9 2·2

b 26·7 15·2 11·5 0·1 3·6 3·7

c 23·8 10·0 13·8 3·8 4·6 0·80

d 28·5 12·8 15·7 2·9 5·4 2·5

e 45·6 20·1 25·5 1·2 3·3 2·1

f 59·3 33·1 26·2 0·1 3·5 3·4

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a 40·94 18·97 21·97 6·3 12·67 9·3 Answers for fourth row will vary.

b 32·7 12·62 20·08 4·12 8·5 11·58 Answers for fourth row will vary.

c 47·24 24·32 22·92 9·5 14·82 8·1 Answers for fourth row will vary.

d 48·65 23·29 25·36 7·99 15·3 10·06 Answers for fourth row will vary.

e 32·92 20·16 12·76 12·8 7·36 5·4 Answers for fourth row will vary.

f 38·23 13·26 24·97 3·86 9·4 15·57 Answers for fourth row will vary.

a 17·968 7·334 7·634 3·2 4·134 3·5 Answers for fourth row will vary.

b 17·053 7·851 9·202 5·6 2·251 6·951 Answers for fourth row will vary.

c 35·845 20·53 15·315 8·26 12·27 3·045 Answers for fourth row will vary.

d 40·755 26·0 14·755 16·7 9·3 5·455 Answers for fourth row will vary.

Unit 7, Week 3: StatisticsLesson 1: Growing up line graphs

1 a 6 kg b 18 kg2 6 kg3 15 kg

1

1

10

20

30

40

50

60

70

3 5 7 9 11 13 15 17Age (years)

David’s mass

Mas

s (k

g)

2 between 11 and 13 years

3 a 60 kg e 27.5 kgb 52.5 kg f 22.5 kgc 42.5 kg g 17.5 kgd 32.5 kg h 13.6 kg

4 a 12.5 kg b 22.5 kg5 10 kg

1 a 135 cm b 156.5 cm

2 between 11 and 12 and between 13 and 14

3 15 12 years

4 Answers will vary.

Lesson 2: Post office straight line graphs

1

Number of stamps 1 2 3 4 5 6

Cost (p) 50p 100p 150p 200p 250p 300p

2

1

0

50

100

150

200

250

300

2 3 4 5 6Number of stamps

Cost of 2nd class stamps

Cos

t (p

)

3 a 5 b 10

1

Number of small parcels

2 4 6 8 10 12

Cost (£) 6 12 18 24 30 36

2

2

0

6

12

18

24

30

36

4 6 8 10 12Number of parcels

Cost to post small parcels

Cos

t (£

)

3 a £15 b £27

4 a 11 b 7

5 a £90 b £300

6 £390

7 £42

1

Pound (£) 20 40 60 80 100

Dollar ($) 30 60 90 120 150

2

0

40

20

80

60

100

120

140

20 40 60 80 100 120 140 160 180 200

Pounds (£)

Conversion chart fordollars and pounds

Dol

lars

($)

3 a i $210 iii $240 ii $300 iv $75

b i £80 iii £100 ii £120 iv £180

Lesson 3: Data in tables and timetables

a

Market Street 10:15 10:35 10:55

Northford 10:25 10:45 11:05

Easton 10:35 10:55 11:15

Southam 10:45 11:05 11:25

Westerby 10:55 11:15 11:35

b 40 minutes

1 a

Cambridge 11:00 12:30 14:00 15:30

Harston 11:15 12:45 14:15 15:45

Royston 11:25 12:55 14:25 15:55

Letchworth 11:42 13:12 14:42 16:12

Hitchin 11:50 13:20 14:50 16:20

Luton Airport 12:05 13:35 15:05 16:35

b 40 minutesc 13:12

2 a IT 1155, 3 h 25 minb BR 0291, 5 minc £194d 14:55

a 16:01, 16:16, 16:34, 16:46b 43 minc 16:19d 16:46

Lesson 4: On the move

1

00 10 20 30 40 50 60

4

8

12

16

Time (min)

Delivery from depot

Dis

tanc

e (m

iles)

2 a 6 miles c 6 milesb 4 miles d 10 miles

1 a 5 miles b 2·5 miles c 1 mile

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Busy Ant Yr5 TG Ans [XXX-XXX].indd 565Busy Ant Yr5 TG Ans [XXX-XXX].indd 565 02/07/2014 15:2502/07/2014 15:25

Pupil Book 5B

566

2 a 7·5 miles b 5 miles c 3 miles

3 25 minutes

4 5 minutes

5 a 5 minutes b 7·5 miles

6 50 minutes

Answers will vary.

Unit 8, Week 1: Number - Multiplication and divisionLesson 1: Multiplication TO x TO using partitioning

1 a 21 b 210 c 2100

2 a 48 b 480 c 4800

3 a 36 b 360 c 3600

4 a 36 b 36 c 3600

5 a 56 b 560 c 5600

6 a 24 b 240 c 2400

7 a 35 b 350 c 3500

8 a 72 b 720 c 7200

1 a 1932 i 7820b 1254 j 840c 4704 k 2516d 3120 I 1404e 1014 m 2736f 4292 n 4356g 3588 o 7744h 4758

2 Answers will vary.

1, 2 Answers will vary.

Lesson 2: Multiplication TO x TO using partitioning and the grid method

a 42 i 2100b 400 j 1200c 480 k 360d 54 l 560e 720 m 63f 3200 n 360g 24 o 56h 2500 p 6300

1 Answers will vary.

2 a He is £1932 short of his target.b £442c £3416

1 a 5 h 55b 3 i 5 (50)c 8 j 1d 5 (50) k 2 (20)e 4 (40) l 5f 6 m 40g 2 (20) n 99

2 Answers will vary.

Lesson 3: Multiplication TO x TO using the expanded written method

8 x 9 = 72 20 x 7 = 140 30 x 6 = 180

30 x 9 = 270 6 x 7 = 42 50 x 6 = 300

6 x 9 = 54 70 x 7 = 490 8 x 6 = 48

40 x 9 = 360 90 x 7 = 630 70 x 6 = 420

7 x 9 = 63 8 x 7 = 56 6 x 6 = 36

50 x 9 = 450 3 x 7 = 21 4 x 6 = 24

1 Approximations will vary.

2 a 1748 f 2496b 2808 g 3344c 3248 h 5032d 5312 i 5208e 3283

Answers will vary.

Lesson 4: Solving word problems (2)

a x e + i ÷b ÷ f – j ÷c – g x k –d x h ÷ l +

a £1008b 375 + 1248 = £1623c £966d 348 + 450 = 798; 1000 – 798 = 202 £202e 23 strawberry gateaux cost £851 16 cupcake trees cost £768 851 – 768 = 83 £83f £198g 12 x 36 = 432 £432h Answers will vary.i 4 cakes. £14 change

a £3.65b £1.20 eachc £0.93 or 93p each

Unit 8, Week 2: PercentagesLesson 1: Percentages and hundredths

a 40100 or 40%

b 70100 or 70%

c 10100 or 10%

d 30100 or 30%

e 90100 or 90%

f 100100 or 100%

g 25100 or 25%

h 68100 or 68%

i 56100 or 56%

j 7100 or 7%

k 43100 or 43%

l 62100 or 62%

No answers.

1 Answers will vary.

2 a 34% f 38%b 59% g 73%c 72% h 50%d 99% i 27%e 1% j 84%

3 a 12100 f 47

100

b 89100 g 100

100

c 36100 h 86

100

d 3100 i 34

100

e 97100 j 3

100

Lesson 2: Percentages and decimal hundredths

a 50% or 0·50b 70% or 0·70c 40% or 0·40d 25% or 0·25e 64% or 0·64f 99% or 0·99g 7% or 0·07h 42% or 0·42i 36% or 0·36j 81% or 0·81k 75% or 0·75l 58% or 0·58

1 a 0.28 e 0.06b 0.74 f 0.52c 0.15 g 1.0d 0.93 h 0.39

2 a 72% e 55%b 81% f 39%c 17% g 4%d 96% h 22%

3 Answers will vary.

3Challenge

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Busy Ant Yr5 TG Ans [XXX-XXX].indd 566Busy Ant Yr5 TG Ans [XXX-XXX].indd 566 02/07/2014 15:2502/07/2014 15:25

567

Pupil Book 5B

No answers.

Lesson 3: Percentage and fraction equivalents

1 a 510 or 50%. This is also a half

b 210 or 20%

c 610 or 60%

d 810 or 80%

e 710 or 70%

f 1010 or 100%

g 410 or 40%

h 910 or 90%

i 110 or 10%

1 a 25 = 40%

b 14 = 25%

c 45 = 80%

d 35 = 60%

e 34 = 75%

f 55 = 4

4 = 100%

2 110 = 10% = 10

100

210 = 20% = 20

100

310 = 30% = 30

100

410 = 40% = 40

100

510 = 50% = 50

100

610 = 60% = 60

100

710 = 70% = 70

100

810 = 80% = 80

100

910 = 90% = 90

100

1010 = 100% = 100

100

15 = 20% = 20

100

25 = 40% = 40

100

35 = 60% = 60

100

45 = 80% = 80

100

14 = 25% = 25

100

34 = 75% = 75

100

No answers.

Lesson 4: Percentage problems

1 a 150 j 160b £275 k 250 mc 400 km l 24 mld 48 m m £76e 320 n 258f £830 o 53 kgg 650 p 18 kmh 1000 q 300i 22 cm r 330 ml

2 50%

3 20%

4 10%

5 60%

1 a 1600 i 1275b 1005 j 3105c 387 k 1104d 1000 l 1262e 4560 m 4662f 1620 n 1005g 1532 o 4664h 4000

2 76%

3 17%

4 26%

5 70% of 80 = 56 60% of 90 = 54

6 £21

1 £45

2 144 cm

3 £21

4 £2580

5 9·6 kg

6 20 °C

7 33 pieces

Unit 8, Week 3: Measurement (perimeter and area)Lesson 1: Calculating perimeters

A 10 cm B 14 cm C 16 cmD 14 cm E 16 cm E 16 cm

1 A 48 cm B 48 cm C 48 cm2 A 24 cm C 20 cm

B 22 cm D 24 cm

3 A 60 m B 80 m C 140 m

10 hexagons, P = 42 cm

Lesson 2: Using square units

A 15 cm2 D 12 cm2

B 12 cm2 E 9 cm2

C 10 cm2

1 A 35 cm2 C 32 cm2

B 27 cm2 D 36 cm2

2 D, A, C, B

3 A 16 cm2 B 16 cm2

C 21 cm2

4 A 54 cm2 D 1500 cm2

B 108 cm2 E 20 m2

C 6400 m2

1 A 18 m2 C 16 m2

B 14 m2 D 12 m2

2 window A

Lesson 3: Finding missing lengths

A 2 cm C 4 cmB 3 cm D 4 cm

1 A 6 cm D 11 cmB 6 cm E 5 cmC 5 cm F 15 cm

2 A 6 cm D 7 cmB 5 cm E 9 cmC 10 cm

3 A 5 cm x 8 cm = 40 cm2

B 2 cm x 12 cm = 24 cm2

1 ducks 7500 m2

hens 4000 m2

sheep 18,500 m2

Lesson 4: Area of irregular shapes

A 9 cm2 C 19 cm2

B 8 cm2 D 16 cm2

1 A 52 cm2 C 128 cm2

B 80 cm2

2 A 600 cm2 D 260 cm2

B 550 cm2 E 156 cm2

C 650 cm2

1 A 864 cm2 B 546 cm2

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Busy Ant Yr5 TG Ans [XXX-XXX].indd 567Busy Ant Yr5 TG Ans [XXX-XXX].indd 567 02/07/2014 15:2502/07/2014 15:25

Pupil Book 5C

Pupil Book 5CUnit 9, Week 1: Number - Number and place valueLesson 1: 6-digit ordering

1 a 120 782 290 466 521 766587 387 734 298

b 603 777 619 881 638 259662 165 675 287

c 347 209 372 135 374 200376 821 387 299

d 377 872 387 783 788 376807 625 870 651

2 825 286 (80), 852 297 (50 000, 90),854 222 (200), 901 725 (1000), 910 822 (900 000)

3 Answers will vary.

4 587 388 290 467 521 767734 299 120 783

5 807 725 387 883 788 476870 751 377 972

6 786 387 289 466 520 766733 298 119 782

7 665 287 609 881 628 259652 165 593 777

No answers.

No answers.

Lesson 2: 6-digit counting and rounding

1 a 52 872 count on inhundreds to 53 772

81 673 count on in hundreds to 82 573

73 083 count on in hundreds to 73 983

65 215 count on in hundreds to 66 115

87 945 count on in hundreds to 88 845

49 923 count on in hundreds to 50 823

b 52 872 count back in hundreds to 51 972

81 673 count back in hundreds to 80 773

73 083 count back in hundreds to 72 183

65 215 count back in hundreds to 64 315

87 945 count back in hundreds t 87 045

49 923 count back in hundreds to 49 023

c 52 872 count on in thousands to 61 872

81 673 count on in thousands to 90 673

73 083 count on in thousands to 82 083

65 215 count on in thousands to 74 215

87 945 count on in thousands to 96 945

49 923 count on in thousands to 58 923

d 52 872 count back in thousands to 43 872

81 673 count back in thousands to 72 673

73 083 count back in thousands to 64 083

65 215 count back in thousands to 56 215

87 945 count back in thousands to 78 945

49 923 count back in thousands to 40 923

2 a 38 900 38 982 39 000

47 200 47 253 47 300

54 400 54 476 54 500

65 100 65 163 65 200

75 900 75 982 76 000

83 200 83 289 83 300

b 38 000 38 982 39 000

47 000 47 253 48 000

54 000 54 476 55 000

65 000 65 163 66 000

75 000 75 982 76 000

83 000 83 289 84 000

1 a 543 982 count back in hundreds to 543 082

536 154 count back in hundreds to 535 254

582 385 count back in hundreds to 581 485

513 488 count back in hundreds to 512 588

575 698 count back in hundreds to 574 798

537 819 count back in hundreds to 536 919

b 543 982 count on in thousands to 552 982

536 154 count on in thousands to 545 154

582 385 count on in thousands to 591 385

513 488 count on in thousands to 522 488

575 698 count on in thousands to 584 698

537 819 count on in thousands to 546 819

c 543 982 count on in steps of 10 000 to 633 982

536 154 count on in steps of 10 000 to 626 154

582 385 count on in steps of 10 000 to 672 385

513 488 count on in steps of 10 000 to 603 488

575 698 count on in steps of 10 000 to 665 698

537 819 count on in steps of 10 000 to 627 819

d 543 982 count back in steps of 10 000 to 453 982

536 154 count back in steps of 10 000 to 446 154

582 385 count back in steps of 10 000 to 492 385

513 488 count back in steps of 10 000 to 423 488

575 698 count back in steps of 10 000 to 485 698

537 819 count back in steps of 10 000 to 447 819

e 543 982 count on in steps of 100 000 to 1 443 982

536 154 count on in steps of 100 000 to 1436 154

582 385 count on in steps of 100 000 to 1 482 385

513 488 count on in steps of 100 000 to 1 413 488

575 698 count on in steps of 100 000 to 1475 698

537 819 count on in steps of 100 000 to 1 437 819

f 543 982 count back in steps of 100 000 to –356 018

536 154 count back in steps of 100 000 to –363 846

582 385 count back in steps of 100 000 to –317 615

513 488 count back in steps of 100 000 to –386 512

575 698 count back in steps of 100 000 to –324 302

537 819 count back in steps of 100 000 to –362 181

1Challenge

568

2Challenge

3Challenge

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Busy Ant Yr5 TG Ans [XXX-XXX].indd 568Busy Ant Yr5 TG Ans [XXX-XXX].indd 568 02/07/2014 15:2502/07/2014 15:25

569

Pupil Book 5C

2 a 780 000 840 000 510 000 400 000 480 000 420 000

b 800 000 800 000 500 000 400 000 500 000 400 000

1 Ten thousandths digit. Sometimes hundred thousandths digit.

2 a 763 522 count on in steps of 100 000 to 1 163 522

703 468 count on in steps of 100 000 to 1 103 468

832 355 count on in steps of 100 000 to 1 232 355

860 731 count on in steps of 100 000 to 1 260 731

972 648 count on in steps of 100 000 to 1 372 648

b 763 522 count back in steps of 100 000 to 363 522

703 468 count back in steps of 100 000 to 303 468

832 355 count back in steps of 100 000 to 432 355

860 731 count back in steps of 100 000 to 460 731

972 648 count back in steps of 100 000 to 572 648

3 Answers will vary.

Lesson 3: Number problems

1 Answers will vary.

2 16·7 hours

3, 4, 5 Answers will vary.

1 57 years

2 Answers will vary.

3 86 400 seconds equals 24 hours.

4, 5 Answers will vary.

1 Answers will vary.

2 1285

3, 4, 5 Answers will vary.

Lesson 4: Roman numerals

1 a 12 g 34b 16 h 40c 14 i 45d 21 j 59e 27 k 73f 32 l 121

2 LXXX LXXXI LXXXIILXXXIII LXXXIV LXXXVLXXXVI LXXXVII LXXXVIIILXXXIX XC XCIXCII XCIII XCIVXCV XCVI XCVIIXCVIII XCIX C

1 a CI CII CIIICIV CV CVICVII CVIII CIXCX CXI CXIICXIII CXIV CXVCXVI CXVII CXVIIICXIX CXX

b CCXL CCXLI CCXLIICCXLIII CCXLIV CCXLVCCXLVI CCXLVII CCXLVIIICCXLIX CCL CCLICCLII CCLIII CCLIVCCLV CCLVI CCLVIICCLVIII CCLIX CCLX

c CCCL CCCLI CCCLIICCCLIII CCCLIV CCCLVCCCLVI CCCLVII CCCLVIIICCCLIX CCCLX CCCLXICCCLXII CCCLXIII CCCLXIVCCCLXV CCCLXVI CCCLXVIICCCLXVIII CCCLXIX CCCLXX

d CDX CDXI CDXIICDXIII CDXIV CDXVCDXVI CDXVII CDXVIIICDXIX CDXX CDXXICDXXII CDXXIII CDXXIVCDXXV CDXXVI CDXXVIICDXXVIII CDXXIX CDXXX

2 a LXXXII g CCLIIb XLVIII h CCXXIc CXXXVIII i CCCVIIId CXVII j CCCLIe CXCI k CCCLXXf CCXXIII l CDXXI

3 Answers will vary.

4 a 2000 e 2016b 2005 f 1990c 2008 g 1950d 2020 h 1980

5 Answers will vary.

1 a D DI DIIDIII DIV DVDVI DVII DVIIIDIX DX DXIDXII DXIII DXIVDXV DXVI DXVIIDXVIII DXIX DXX

b DCL DCLI DCLIIDCLIII DCLIV DCLVDCLVI DCLVII DCLVIIIDCLIX DCLX DCLXIDCLXII DCLXIII DCLXIVDCLXV DCLXVI DCLXVIIDCLXVIII DCLXIX DCLXX

c DCCX DCCXI DCCXIIDCCXIII DCCXIV DCCXVDCCXVI DCCXVII DCCXVIIIDCCXIX DCCXX DCCXXIDCCXXII DCCXXIII DCCXXIVDCCXXV DCCXXVI DCCXXVIIDCCXXVIII DCCXXIX DCCXXX

d DCCCLXXX DCCCLXXXIDCCCLXXXII DCCCLXXXIIIDCCCLXXXIV DCCCLXXXVDCCCLXXXVI DCCCLXXXVIIDCCCLXXXVIII DCCCLXXXIXDCCCXC DCCCXCIDCCCXCII DCCCXCIIIDCCCXCIV DCCCXCVDCCCXCVI DCCCXCVIIDCCCXCVIII DCCCXCIXCM

2 a 1993 e 1850b 1975 f 1871c 1959 g 1813d 1800 h 1880

3 Answers will vary.

4 Answers will vary.

Unit 9, Week 2: Number - Addition and subtractionLesson 1: Mental addition and subtraction

1, 2 Answers will vary.

1, 2 Answers will vary.

1, 2 Answers will vary.

Lesson 2: Written addition (3)

a 61 838 f 85 835b 48 870 g 88 093c 73 675 h 94 173d 92 738 i 75 144e 94 516 j 87 841

1 a 119 231 i 803 120b 110 863 j 997 369c 128 121 k 408 429d 142 810 l 570 539e 150 301 m 449 049f 621 421 n 239 720g 756 823 o 335 708h 935 050 p 544 027

2 Answers will vary.

1 a 590 511 f 420 180b 198 963 g 320 697c 358 053 h 828 609d 803 133 i 631 611e 535 269

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Busy Ant Yr5 TG Ans [XXX-XXX].indd 569Busy Ant Yr5 TG Ans [XXX-XXX].indd 569 02/07/2014 15:2502/07/2014 15:25

Pupil Book 5C

2 a 161 585 f 475 550b 351 827 g 162 010c 320 011 h 524 481d 282 022 i 355 921e 584 119 j 400 550

Lesson 3: Written subtraction (3)

a 18 127 f 25 668b 32 608 g 36 229c 24 185 h 27 829d 25 759 i 38 514e 18 166 j 26 826

1 a 247 678 h 754 689b 290 587 i 845 977c 259 117 j 963 653d 256 367 k 16 517e 388 182 l 88 159f 684 657 m 493 187g 669 259 n 826 173

2 Answers will vary.

1 a 261 354 f 201 138b 341 586 g 240 665c 262 249 h 108 326d 263 408 i 253 135e 415 994 j 188 000

2, 3 Answers will vary.

Lesson 4: Fairground problems

1 £4803

2 865 coconuts

3 2·1cm

4 £22 044.91

5 208 700 miles

1 Answers will vary.

2 £3264.22

3 Various answers

4 46 386

5 £478

1 £23 168

2 £17 019

3 £12 639

4 9 years, 21 years, 33 years, 45 years…

5 420

Unit 9, Week 3: Geometry - Properties of shapesLesson 1: Properties of rectangles

1 a, bA B

D E

10 cm

10 cm

6 cm 6 cm

2 a DC = 10 cmb 4

1 a–c

A B

D E

10 cm

10 cm31°

31°

59°

59°

6 cm 6 cm

d angle x = 59°, angle y = 31°

2 a, b

A

B

C

D

57°

57°

33°

33°

18°

18°

72°

63°

63°

37°53°

53°37°

72°

27°

27°

A

B

C

D

P

Q

R

S

7·1 cm

7·1 cm8·5 cm

8·5 cm

5·7 cm 4·2 cm

4·2 cm5·7 cm

Lesson 2: Diagonal lines

A B C

D EF

1 a–d

Ax

x

x

x x

yy

xx

xx

x xx x

y y

y y

x

B

C

D

E F

4 a

Shape Size of angle x

Size of angle y

A square 45° 45°B rectangle 60° 60°C parallelogram 23° 23°D rhombus 63° 63°

b For each shape angle x = angle y

b In a kite, the diagonals intersect at 90°, one diagonal bisects a pair of opposite angles and one diagonal is bisected by the other.

Lesson 3: Regular and irregular polygons

3 Shape A B C D E F

Has all sides equal ✓ ✓ ✓ ✓ ✓ ✓

Has all angles equal ✓ ✓ ✓ ✓ ✓ ✗

Is a regular shape ✓ ✓ ✓ ✓ ✓ ✗

1

Shape A B C D E F G H I J

All sides equal ✓ ✓ ✗ ✓ ✗ ✓ ✗ ✓ ✓ ✓

All angles equal ✗ ✓ ✗ ✓ ✗ ✓ ✗ ✓ ✗ ✓

570

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Busy Ant Yr5 TG Ans [XXX-XXX].indd 570Busy Ant Yr5 TG Ans [XXX-XXX].indd 570 02/07/2014 15:2502/07/2014 15:25

571

Pupil Book 5C

2 Shape A: All the sides are equal.All the angles are not equal.Is an irregular polygon.

Shape C: Has two sets of equal sides and two sets of equal angles. Is an irregular polygon.

Shape E: Has two sides equal and two angles equal. Is an irregular polygon.

Shape G: All the angles are not equal. All the sides are not equal. Is an irregular polygon.

Shape I: Has all equal sides and two sets of equal angles. Is an irregular polygon.

Number of sides 3 4 5 6 7 8 9

Number of diagonals 0 2 5 9 14 20 27

The number of diagonals equals the number of sides multiplied by the number of sides minus three and divided by 2.

D = S(S – 3) ÷ 2

Lesson 4: Missing angles

a 65° d 55°b 50° e 55°c 135°

1 a 37° e 107°b 142° f 204°c 64° g 276°d 53°

2 a ∠ABD = 75°b i ∠DBC decreases by 15°, 20°, 25° ii ∠DBC increases by 12°, 24°, 36°

3 a ∠PQR = 122°b i ∠RQS decreases by 35°, 45°, 55° ii ∠RQS increases by 18°, 27°, 36°

2:30 105° 3:30 75° 4:30 45°5:30 15° 6:30 15° 7:30 45°8:30 75° 9:30 105° 10:30 135°11:30 165° 12:30 165°

Unit 10, Week 1: Number - Multiplication and division, incl. Measurement (money)Lesson 1: Multiplication ThHTO × O, Division ThHTO ÷ O, using the most efficient method

1 Answers will vary.

2 Answers will vary.

1 Answers will vary.

2

mental written

9366 ÷ 3 = 3122 7336 ÷ 4 = 1834

6966 ÷ 3 = 2322 7568 ÷ 8 = 946

1648 ÷ 4 = 412 3529 ÷ 7 = 504·1

5427 ÷ 9 = 603 4657 x 8 = 37 256

5333 x 3 = 15 999 8639 x 7 = 60 473

4222 x 4 = 16 888 6427 x 8 = 51 416

5555 x 4 = 22 220 6875 x 5 = 34 375

6116 x 6 = 36 696

7749 ÷ 7 = 1107

4618 ÷ 2 = 2309

6231 x 3 = 18 693

No answers.

Lesson 2: Multiplying and dividing by 10, 100, 1000, including decimals

1 a x e x i xb x f x j ÷c ÷ g ÷d x h ÷

Player 1

Startnumber 4

x 1040

x 10400

÷10000·4

x 10040

÷ 104

÷ 1000·04

x 100040

÷ 104

Player 2

Startnumber 8

x 10008000

÷ 10080

÷108

x 10008000

÷ 10080

x 10800

÷ 1080

÷ 108

Player 3

Startnumber 1

x 100100

÷1010

x 1001000

÷ 10001

÷ 10·1

x 10010

x 10100

x 10010 000

Player 3 had the highest score.

1 a £8.90 e £40.00b £229.00 f £25.00c £56.80 g £2490.00d £6.40 h £42.00

2 a £0.89 e £0.45b £2.59 f £0.20c £0.63 g £0.30d £4.39 h £0.09

Lesson 3: Multiplication TO × TO using factors

1 a 70 i 180b 140 j 80c 65 k 155d 90 l 235e 45 m 160f 180 n 185g 60 o 145h 85

2 a 180 i 316b 208 j 196c 152 k 360d 148 l 388e 312 m 300f 260 n 348g 92 o 116h 140

3 a 240 b 90

1 a 896 e 504b 828 f 800c 1232 g 468d 720 h 408

2 a 690 e 900b 576 f 672c 1470 g 336d 392 h 726

37 x 17 23 x 29 13 x 43 27 x 41

Both numbers are odd so it is difficult to halve one of the numbers and then keep halving as the number will become a decimal number.

Lesson 4: Solving word problems (3)

Start Finish

6x 4

24

x 5

120

x 10

1200

÷ 100

12

x 12

144

÷ 4

36

x 6

216

÷ 3

72

x 2

144

÷ 12

1212

1 £784

2 £117

3 a £227b £7037

4 £159

5 £1368

6 £164

7 £17

1 The designer watch cost £525.

2 He can buy 8 sandwiches. He has £3.20 left.

3 Each cake cost £1.50.

Unit 10, Week 2: Number - Fractions Lesson 1: Improper fractions and mixed numbers (1)

a 74 = 1 34 e 10

6 = 1 46

b 32 = 1 1

2 f 128 = 1 48

c 85 = 1 3

5 g 1510 = 1 5

10

d 53 = 1 2

3 h 117 = 1 47

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Busy Ant Yr5 TG Ans [XXX-XXX].indd 571Busy Ant Yr5 TG Ans [XXX-XXX].indd 571 02/07/2014 15:2502/07/2014 15:25

Pupil Book 5C

1 a 136 = 6

6 + 66 + 1

6 = 2 16

b 104 = 4

4 + 44 + 2

4 = 2 24

c 135 = 5

5 + 55 + 3

5 = 2 35

d 187 = 7

7 + 77 + 4

7 = 2 47

e 52 = 2

2 + 22 + 1

2 = 2 12

f 208 = 8

8 + 88 + 4

8 = 2 48

g 113 = 3

3 + 33 + 3

3 + 23 = 3 23

h 226 = 6

6 + 66 + 6

6 + 46 = 3 46

2 a 85 = 5

5 + 35 = 1 35

b 106 = 6

6 + 46 = 1 46

c 53 = 3

3 + 23 = 1 23

d 94 = 4

4 + 44 + 1

4 = 2 14

e 135 = 5

5 + 55 + 3

5 = 2 35

f 157 = 7

7 + 77 + 1

7 = 2 17

g 2410 = 10

10 + 1010 + 4

10 = 2 410

h 199 = 9

9 + 99 + 1

9 = 2 19

i 92 = 2

2 + 22 + 2

2 + 22 + 1

2 = 4 12

j 154 = 4

4 + 44 + 4

4 + 34 = 3 34

k 188 = 8

8 + 88 + 2

8 = 2 28

l 5012 = 12

12 + 1212 + 12

12 + 12 12 + 2

12= 4 212

1 a 2 13 = 33 + 3

3 + 13 = 7

3

b 2 45 = 55 + 5

5 + 45 = 14

5

c 3 47 = 77 + 7

7 + 77 + 4

7 = 257

d 3 58 = 88 + 8

8 + 88 + 5

8 = 298

e 2 89 = 99 + 9

9 + 89 = 26

9

f 4 12 = 22 + 2

2 + 22 + 2

2 + 12 = 9

2

g 4 610 = 10

10 + 1010 + 10

10 + 1010 + 6

10 = 4610

h 5

23 = 3

3 + 33 + 3

3 + 33 + 3

3 + 23 = 17

3

i 6

34 = 4

4 + 44 + 4

4 + 44 + 4

4 + 44 + 3

4 = 274

j 7

35 = 5

5 + 55 + 55 + 55 + 55 + 55 + 55 + 35 = 385

Lesson 2: Improper fractions and mixed numbers (2)

a 119 = 1 29 g 17

5 = 3 25

b 96 = 1 36 h 14

4 = 3 24

c 95 = 1 45 i 15

5 = 3

d 64 = 1 24 j 30

8 = 3 68

e 73 = 2 13 k 24

10 = 2 410

f 52 = 2 12 l 16

5 = 3 15

1 a 134 = 13 ÷ 4 = 3 14

b 113 = 11 ÷ 3 = 3 23

c 72 = 7 ÷ 2 = 3 12

d 95 = 9 ÷ 5 = 1 45

e 73 = 7 ÷ 3 = 2 13

f 52 = 5 ÷ 2 = 2 15

g 175 = 17 ÷ 5 = 3 25

h 144 = 14 ÷ 4 = 3 24

2 Answers will vary.

1 a 235 = 23 ÷ 5 = 4 35

b 184 = 18 ÷ 4 = 4 24

c 92 = 9 ÷ 2 = 4 12

d 153 = 15 ÷ 3 = 5

e 317 = 31 ÷ 7 = 4 37

f 398 = 39 ÷ 8 = 4 78

g 4710 = 47 ÷ 10 = 4 7

10

h 409 = 40 ÷ 9 = 4 49

i 134 = 13 ÷ 4 = 3 14

j 3410 = 34 ÷ 10 = 3 4

10

k 375 = 37 ÷ 5 = 7 25

l 3912 = 39 ÷ 12 = 3 3

12

2 Answers will vary.

3 Answers will vary.

Lesson 3: Multiplying proper fractions

1 a 1 14 e 1 26

b 1 23 f 2 13

c 1 34 g 2 12

d 1 15 h 2 14

1 a 35 x 4 = 3

5 + 35 + 3

5 + 35 = 12

5 = 2 25

b 46 x 2 = 4

6 + 46 = 8

6 = 1 26

c 34 x 5 = 3

4 + 34 + 3

4 + 34 + 3

4 = 154 = 3 34

d 26 x 4 = 2

6 + 26 + 2

6 + 26 = 8

6 = 1 26

e 47 x 3 = 4

7 + 47 + 4

7 = 127 = 1 57

f 68 x 5 = 6

8 + 68 + 6

8 + 68 + 6

8 = 308 = 3 68

g 29 x 7 = 29 + 29 + 29 + 29 + 29 + 29 + 29 = 1 59

h 610 x 3 = 6

10 + 610 + 6

10 = 1810 = 1 8

10

i 36 x 5 = 3

6 + 36 + 3

6 + 36 + 3

6 = 156 = 2 36

j 45 x 6 = 45 + 45 + 45 + 45 + 45 + 45 = 24

5 = 4 45

k 28 x 4 = 2

8 + 28 + 2

8 + 28 = 8

8 = 1

l 34 x 7 = 34 + 34 + 34 + 34 + 34 + 34 + 34 = 21

4 = 5 14

2 a 25 x 7 = 2

5 x 71 = 2 x 7

5 x 1 = 145 = 2 45

b 34 x 6 = 3

4 x 61 = 3 x 6

4 x 1 = 184 = 4 24

c 46 x 4 = 4

6 x 41 = 4 x 4

6 x 1 = 166 = 2 46

d 23 x 6 = 2

3 x 61 = 2 x 6

3 x 1 = 123 = 4

e 37 x 4 = 3

7 x 41 = 3 x 4

7 x 1 = 127 = 1 57

f 58 x 5 = 5

8 x 51 = 5 x 5

8 x 1 = 258 = 3 18

g 49 x 6 = 4

9 x 61 = 4 x 6

9 x 1 = 249 = 2 69

h 310 x 8 = 3

10 x 81 = 3 x 8

10 x 1 = 2410 = 2 4

10

i 26 x 5 = 2

6 x 51 = 2 x 5

6 x 1 = 106 = 1 46

j 38 x 4 = 3

8 x 41 = 3 x 4

8 x 1 = 128 = 1 48

k 47 x 3 = 4

7 x 31 = 4 x 3

7 x 1 = 127 = 1 57

l 45 x 6 = 4

5 x 61 = 4 x 6

5 x 1 = 245 = 4 45

a 67 x 6 = 36

7 = 5 17

b 58 x 9 = 45

8 = 5 58

c 34 x 12 = 36

4 = 9

d 49 x 10 = 40

9 = 4 49

e 810 x 7 = 56

10 = 5 610

f 412 x 6 = 24

12 = 2

g 78 x 9 = 63

8 = 7 78

h 1115 x 8 = 88

15 = 5 1315

i 411 x 6 = 24

11 = 2 211

j 612 x 7 = 42

12 = 3 612

k 315 x 5 = 15

15 = 1

l 713 x 8 = 56

13 = 4 413

572

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Lesson 4: Multiplying mixed numbers

a 6 23 e 12 45

b 9 f 10 58

c 7 15 g 18 67

d 10 56 h 16 810

a 10 23 h 13 68

b 10 15 i 36 45

c 13 26 j 47 14

d 15 k 16 12

e 16 37 l 30 13

f 27 35 m 22 15

g 21 17 n 48 23

2 1 1516

3 114 = 2 34 = 2 9

12

1 a 14 36 e 25 15

b 17 48 f 37 13

c 18 29 g 9 210

d 31 57 h 27 67

2 Answers will vary.

Unit 10, Week 3: Measurement (volume and capacity)Lesson 1: Converting capacities

1 a 5000 ml b 500 ml c 50 ml

2 A 4250 ml C 3400 ml B 3240 ml D 6500 ml

3 A 4000 ml C 400 ml B 40 ml

1 a 2400 ml d 11 250 mlb 3910 ml e 860 mlc 7580 ml f 90 ml

2 a 7·16 l e 0·42 lb 3·08 l f 0·06 lc 12·52 l g 11·01 ld 22·4 l h 20·06 l

3 A 42·5 l C 34 l B 32·4 l D 65 l

4 a i 3 l ii 7·5 lb 4·5 lc i 30 l ii 75 l iii 105 l

1 E, A, C, D, B

2 A = 750 ml B = 100 ml C = 500 ml D = 250 ml E = 1000 ml

Lesson 2: Converting between pints and litres

1 a 7 pints c 14 pintsb 9 pints d 16 pints

2 a 1 l c 4 lb 3 l d 7 l

1 a 5 pints c 4 pintsb 11 pints d 12 pints

2 a 3 l c 7 lb 5 l d 8 l

3 a 7 pints c 3 pintsb 3·5 pints d 4·5 pints

4 a 1.1 l c 3.1 lb 1.7 l d 3.5 l

5 a 2 pints c 3.5 lb 4 l d 3200 ml

a 240 pints b 135 l

Lesson 3: Volume of cuboids

a 8 cm3 d 9 cm3

b 16 cm3 e 18 cm3

c 24 cm3 f 27 cm3

1 16 cm3

2 a 32 cm3 b 30 cm3 c 27 cm3

3 A 144 cm3 B 100 cm3

4 a 4 cubesb 18 cm3

a 20 cubes, 27 cm3

c 9 cubes, 24 cm3

Lesson 4: On board problems

a 5700 ml c 6590 mlb 3160 ml d 7040 ml

1 1400 litres

2 a 300 passengersb 262 passengers

3 a 25 cartons b 50 cartons c 100 cartons

4 a 9 boxesb 900 cm3

5 a 1250 l b 900 l c 3550 l

ab

M P Le Li Tot

750 ml 250 ml600 ml 400 ml550 ml 450 ml350 ml 650 ml300 ml 700 ml150 ml 850 ml850 ml 150 ml800 ml 200 ml650 ml 350 ml

400 ml 600 ml

900 ml 150 ml

Unit 11, Week 1: Number - Addition and subtraction, incl. Measurement (money)Lesson 1: Number squares

1 a 535 450 515 600b 312 486 548 374c 502 402 502 602d 484 682 684 486

2 a 4·1 4·7 3·9 3·3b 4 2·2 3·6 5·4c 1·7 2 1·2 0·9d 5·2 3·6 0·5 2·1

1 a 2300 1700 5000 5600b 1050 4800 4550 800c 3002 2002 1002 2d 4105 2530 3925 5500

2 a 2·8 3·59 2·22 1·43b 3·23 1·58 0·09 1·74c 3 2·34 2·48 3·14d 3·22 0·96 1·12 3·38

1 Answers will vary.

2 Answers will vary.

Lesson 2: Addition targets

1 No answers.

2 Answers will vary.

1 No answers.

2 Answers will vary.

3 No answers.

1 No answers.

2 Answers will vary.

3 Answers will vary.

4 Answers will vary.

Lesson 3: Subtraction targets

1 No answers.

2 Answers will vary.

1 No answers.

2 Answers will vary.

3 No answers.

1 No answers.

2 Answers will vary.

3 Answers will vary.

4 No answers.

Lesson 4: Solving word problems (4)

1 £157.50

2 £7106

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Pupil Book 5C

3 a 142 993 b 8121

4 £25 950

1 £4414.50

2 a 103 859 b 209 579

3 Answers will vary.

4 £16 618

5 £2587.50

1 £86.25

2 £3140

3 Second – 441 845. Lowest – 183 783

4 a 153,109 increase in totalb 84,575 increase on Wednesday

5 11 seven seaters or 13 five seaters

Unit 11, Week 2: Number - Fractions (incl. decimals and percentages)Lesson 1: Percentages, fractions and decimals

a 50% = 50100 = 5

10

b 70% = 70100 = 7

10

c 90% = 90100 = 9

10

d 25% = 25100 = 1

4

e 40% = 40100 = 4

10

f 75% = 75100 = 3

4

g 10% = 10100 = 1

10

h 50% = 50100 = 5

10

1 a 40% = 410 = 2

5 = 0·4

b 25% = 14 = 25

100 = 0·25

c 80% = 810 = 4

5 = 0·8

d 60% = 610 = 3

5 = 0·6

e 75% = 34 = 75

100 = 0·75

f 20% = 210 = 1

5 = 0·2

2 10% = 110 = 0·1

20% = 15 = 0·2

30% = 310 = 0·3

40% = 25 = 0·4

50% = 12 = 0·5

60% = 35 = 0·6

70% = 710 = 0·7

80% = 45 = 0·8

90% = 910 = 0·9

100% = 1010 = 1

25% = 14 = 0·25

75% = 34 = 0·75

No answers.

Lesson 2: Calculating percentage (2)

1 a 750 g 1625 cmb £495 h 186c 2300 km i £92d 390 m j 376e 2010 k 237 kgf £1120 l 548 m

2 a 12 c 180

b 60% d 48

1 a £4262 g 6040 kmb 1840 km h 2473c 541 m i £7458d 3816 j 4077 ge 6108 g k 3558.5 mf £1716 l 2337.5 ml

2 a 51 c £12b £77 d 1200

1 a 857·5 km g 5518.5 kgb 1757 g h 4907·5c £1144.50 i £7038d 1233 j 8491·5e 3658·5 km k 480 gf 4392 l £1596

2 Answers will vary.

3 a Red 25% Blue 15% Orange 40% Green 20%

b Red – £612.50 Blue – £367.50 Orange – £980 Green – £490

Lesson 3: Shopping percentages

1 Swimsuits £63 Goggles £36 Dinghy £153 Snorkel Set £99 Surf Board £198

2 Swimsuits £56 Goggles £32 Dinghy £136 Snorkel Set £88 Surf Board £176

3 £432

4 £82.50

5 £98

1 Swimsuits £52.50 Goggles £30 Dinghy £127.50 Snorkel Set £82.50 Surf Board £165

2 Swimsuits £49 Goggles £28 Dinghy £119 Snorkel Set £77 Surf Board £154

3 £1856

4 1440

5 80%

1 Swimsuits £45.50 Goggles £26 Dinghy £110.50 Snorkel Set £71.50 Surf Board £143

2 £425

3 £3339

4 40%

5 One flight to Paris £247.50 One flight to New York £319 One flight to Madrid £132 Day in Brighton £44 Holiday in the Sun £346.50

Lesson 4: Weather percentages

1 a 10% c 50%b 20% d 20%

2 a 10100 c 1

2

b 15 d 1

5

3 70%

4 30%

1 a 10% c 30%b 20% d 10%

574

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2 a Answers will vary.b Answers will vary.

3 Answers will vary.

4 No answers.

1 a 15% d 17% b 22% e 25% c 7%

2 15%

3 Answers will vary.

Unit 11, Week 3: Geometry - Position and directionLesson 1: Reflecting 2-D shapes

1–3

A B C

D E F

1–3

A

C

E

F G

I

H

D

B

A

D E

C

B

Lesson 2: Reflection in two lines of symmetry

a

b

c

d

1 a

Y R G G R Y

Y R G G R Y

Y Y

Y Y

B G G B

B G G B

b

R R Y

G

R B

R R

R

B

G G

G

R R

R

YR R

R

B

Y

Y

B

c

R

B B

YG G

G

B

R R

R

B B B

B B

Y G G Y G

G Y G

2 a d

b e

c f

1–2 a c

b d

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Lesson 3: Reflecting shapes using coordinates

1 a

6

00

1

2

3

4

5

1 2 3 4 5 6x

y

A A’

B B’

C C’

b

6

00

1

2

3

4

5

1 2 3 4 5 6x

y

E

E’

F

F’

D

D’

2

Point Coordinates Point Coordinates

A (1, 5) A′ (5, 5)

B (2, 3) B′ (4, 3)

C (1, 1) C′ (5, 1)

D (1, 4) D′ (1, 2)

E (3, 5) E′ (3, 1)

F (5, 6) F′ (5, 0)

1 a

0

0

1

2

3

4

5

6

7

8

9

1 2 3 4 5 6 7 8 9x

y

A A’

C’B’CB

b

0

0

1

2

3

4

5

6

7

8

9

1 2 3 4 5 6 7 8 9x

y

D E

G F

G’ F’

D’ E’

c

0

0

1

2

3

4

5

6

7

8

9

1 2 3 4 5 6 7 8 9x

y

H H’I I’

J J’K K’

d

0

0

1

2

3

4

5

6

7

8

9

1 2 3 4 5 6 7 8 9x

y

O N

O’ N’

L M

L’ M’

2

Point Coordinates Point Coordinates

A (2, 6) A′ (8, 6)

B (2, 3) B′ (6, 3)

C (4, 3) C′ (8, 3)

D (3, 8) D′ (3, 2)

E (7, 8) E′ (7, 2)

F (3, 6) F′ (7, 4)

G (3, 6) G′ (3, 4)

H (1, 7) H′ (9, 7)

I (3, 6) I′ (7, 6)

J (4, 2) J′ (6, 2)

K (2, 3) K′ (8, 3)

L (3, 8) L′ (3, 2)

M (5, 8) M′ (5, 2)

N (7, 6) N′ (7, 4)

O (1, 6) O′ (1, 4)

00

1

2

3

4

5

6

7

8

9

1 2 3 4 5 6 7 8 9x

y

F G

E H

N

L

M

K

a F (1, 7) G (5, 7)b M (8, 3) N (6, 1)

Lesson 4: Four-way reflections

a

00

1

2

3

4

5

6

7

8

9

1 2 3 4 5 6 7 8 9x

y

A B

D C

B (9, 6), C (9, 3)

b

00

1

2

3

4

5

6

7

8

9

1 2 3 4 5 6 7 8 9x

y

Q R

P S

Q (2, 7), R (8, 7)

1

00

1

2

3

4

5

6

7

8

9

1 2 3 4 5 6 7 8 9x

y

C’

C’’ C’’’

C

B’

B’’ B’’’

B

A’

A’’ A’’’

A

2

1st quadrant

2ndquadrant

3rdquadrant

4thquadrant

A (6, 6) A′ (4, 6) A′′ (4, 4) A′′′ (6, 4)

B (7, 9) B′ (3, 9) B′′ (3, 1) B′′′ (7, 1)

C (8, 7) C′ (2, 7) C′′ (2, 3) C′′′ (8, 3)

3 Grid 1

00

1

2

3

4

5

6

7

8

9

1 2 3 4 5 6 7 8 9x

y

P

S

P’

S’

S’’ S’’’

P’’ P’’’

Q

R

R’’’

Q’

Q’’ Q’’’

R’

R’’

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Grid 2

00

1

2

3

4

5

6

7

8

9

1 2 3 4 5 6 7 8 9x

y

TT’

SS’

S’’’S’’

R

U

R’

R’’’R’’

U’

T’’’T’’ U’’’U’’

4

Grid1st

quadrant2nd

quadrant3rd

quadrant4th

quadrant

1 S (6, 7) S′ (4, 7) S′′ (4, 3) S′′′ (6, 3)

2 S (9, 9) S′ (1, 9) S′′ (1, 1) S′′′ (9, 1)

5

00

1

2

3

4

5

6

7

8

9

1 2 3 4 5 6 7 8 9x

yD

E

FG

1–2

00 1 2 3 4 5 6 7 8 9 10 11 12

x

y

123456789

101112

A

BB’

B’’ B’’’

C

E’

E’’

A’’ A’’’

C’

C’’ C’’’

DD’

D’’ D’’’

EE’’’

A’

3

1st quadrant

2ndquadrant

3rdquadrant

4thquadrant

B (8, 10) B′ (4, 10) B′′ (4, 2) B′′′ (8, 2)

C (11, 11) C′ (1, 11) C′′ (1, 1) C′′′ (11, 1)

D (10, 8) D′ (2, 8) D′′ (2, 4) D′′′ (10, 4)

Unit 12, Week 1: Number - Multiplication and division, incl Measurement (money)Lesson 1: Multiplication HTO × TO using partitioning

1 a 18 d 1800b 180 e 18 000c 1800

2 a 56 d 5600b 560 e 56 000c 5600

3 a 54 d 5400b 540 e 54 000c 5400

4 a 28 d 2800b 280 e 28 000c 2800

5 a 72 d 7200b 720 e 72 000c 7200

6 a 12 d 1200b 120 e 12 000c 1200

7 a 63 d 6300b 630 e 63 000c 6300

8 a 48 d 4800b 480 e 48 000c 4800

9 a 35 d 3500b 350 e 35 000c 3500

1 a 12 792 g 16 188b 14 980 h 27 132c 17 388 i 33 465d 5934 j 10 395e 9594 k 34 496f 40 953 l 20 336

2 a 25 584 m2

b 420 m2

Answers will vary.

Lesson 2: Multiplication HTO × TO using partitioning and the grid method

1 a 70, 140, 210, 280, 350, 420b 600, 1200, 1800, 2400, 3000, 3600c 60, 120, 180, 240, 300, 360d 90, 180, 270, 360, 450, 540e 400, 800, 1200, 1600, 2000, 2400f 250, 500, 750, 1000, 1250, 1500g 30, 60, 90, 120, 150, 180h 150, 300, 450, 600, 750, 900

2 a 420 i 21 000b 4000 j 12 000c 4800 k 3600d 5400 l 5600e 7200 m 6300f 32 000 n 3600g 24 000 o 4900h 25 000

1 a 10 192 km b 2548 km

c 11 700 minutes

2 Answers will vary.

a 2 d 2 (20)b 7 (70) e 4c 2 (20) f 4 (400)

Lesson 3: Multiplication HTO × TO using the expanded written method

a b c

80 × 8 = 640 200 × 9 = 1800 30 × 7 = 210

300 × 8 = 2400 60 × 9 = 540 500 × 7 = 3500

60 × 8 = 480 700 × 9 = 6300 800 × 7 = 5600

40 × 8 = 320 90 × 9 = 810 70 × 7 = 490

700 × 8 = 5600 8 × 9 = 72 6 × 7 = 42

5 × 8 = 40 30 × 9 = 270 40 × 7 = 280

d e f

30 × 60 = 1800 500 × 30 = 15 000 400 × 50 = 20 000

50 × 60 = 3000 7 × 30 = 210 600 × 50 = 30 000

800 × 60 = 48 000 60 × 30 = 1800 9 × 50 = 450

40 × 60 = 2400 800 × 30 = 24 000 70 × 50 = 3500

3 × 60 = 180 90 × 30 = 2700 800 × 50 = 40 000

700 × 60 = 42 000 200 × 30 = 6000 10 × 50 = 500

1 Approximations may vary.

2 a 11 648 g 29 106b 11 214 h 37 386c 4624 i 8372d 14 344 j 10 412e 5096 k 12 765f 13 468 l 18 564

384

32 12

8 4 3

5888

184 32

46 4 8

6860

196 35

28 7 5

7344

204 36

34 6 6

3204

267 12

89 3 4

Lesson 4: Solving word problems (5)

a 25: 750,725, 700, 675, 650, 625, 600b 60: 600, 540, 480, 420, 360, 300, 240c 70: 630, 560, 490, 420, 350, 280, 210d 90: 810, 720, 630, 540, 450, 360, 270

a £4675b £4884c 5564 + 2784 = 8348 (£8348)d £500e keyboard £214 drum kit £464 guitar

£143 cello £263 clarinet £93.50 violin £74

f 286 + 526 + 148 = 960 960 × 24 = 23 040 £23 040g £3350h 10 000 – 8416 = 1584

£1584i £72j 6 violinsk £604l Answers will vary.

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578

a £12 512b 20 040 mc 27 375 minutes/year =

456 hrs 15 mins

Unit 12, Week 2: Number - Multiplication and division, incl. Measurement (money)Lesson 1: Division ThHTO ÷ O with a decimal remainder

1 21, 56, 35, 49, 56, 42, 77, 84

2 18, 27, 63, 36, 54, 72, 90, 90

3 16 tenths 28 tenths 34 tenths 62 tenths 53 tenths 19 tenths

4 530 hundredths 62 hundredths 110 hundredths 53 hundredths 2 hundredths 134 hundredths

1 a 599·5 g 1097b 329·4 h 729·16c 876·83 i 1474·6d 992·2 j 579e 1568·75 k 390·83f 461·5 l 674·5

2 a 2316 c 3812b 3976

a £471.40 eachb 796 kilometres per hourc 179·375 litres per dayd Sarah: £267.75 Jonathan: £266.75

Sarah pays £1 more per day.

Lesson 2: Division ThHTO ÷ O with a fraction remainder

4: 12, 16, 24, 32, 36, 40, 48, 52, 56, 64, 72, 84, 92, 96, 100,

6: 12, 18, 24, 36, 48, 54, 66, 72, 84, 96,

8: 16, 24, 32, 40, 48, 56, 64, 72, 96

1 a 319 35 g 719 19

b 545 56 h 951 13

c 911 14 i 567 14

d 333 j 796 12

e 1097 34 k 877 23

f 921 23 l 971 42

2 a 346 bowls eachb 74·5 pagesc 585·5 kmd 64·5 packs each.

Answers will vary.

Lesson 3: Division ThHTO ÷ O rounding remainders

a 30 r6 f 61b 91 r3 g 910c 80 r7 h 807d 91 r2 i 910 r1e 102

a 371 peopleb 227 programmesc 360 ticketsd 539 packse 269 packsf 162 cratesg 166 rowsh 534 childreni 27 378 biscuitsj £50 464k 567 trays

Answers will vary.

Lesson 4: Solving money problems

a < f <b < g >c = h <d < i >e > j =

1 338 cars

2 134 cards

3 £565.75

4 3468 + 392 = 3860 £3860 in total

5 137 marbles

6 600 – 534 = 66 (£66)

7 Josh earns £579

8 285 boys, 570 girls

9 £0.60 or 60p

10 £52.80

Answers will vary.

Unit 12, Week 3: StatisticsLesson 1: Bookshop sales

1 a 400 b 200 c 250

2 a September c Decemberb July

1 a 200 b 400 c 300

2 a June b September

3 a January, July, August and Decemberb July and August – people going on

holiday buy books to take with them; December – Christmas sales; January

– spending Christmas book tokens in the shop

4 a January and Februaryb November and December

5 April and May

6 a Similar: high sales at similar times lowest sales in March Highest sales in December both show a fall in sales between

August and Octoberb Different: different scales different number of books sold Children’s book sales fall between

April and May and adult book sales fall between May and June.

1

Month Children’s books

Adults Books

Total sales

Jan 400 800 1200

Feb 250 400 650

Mar 50 100 150

Apr 150 200 350

May 100 400 500

June 200 350 550

July 350 500 850

Aug 400 700 1100

Sept 300 600 900

Oct 100 250 350

Nov 250 500 750

Dec 450 900 1350

2

0J F M A M J J

Month

Monthly sales of books

Num

ber

of B

ooks

A S O N D

200

400

600

800

1000

1200

1400

3 Mirrors sales pattern for children’s and adults’ books having highest sales at similar times.

All three graphs have their highest sales totals in December.

4 Mr Hollins could probably take his holiday in March as that is when the bookshop is at its least busy. October is a possibility but the shop will be taking in new stock for Christmas purchases.

3Challenge

1Challenge

2Challenge

3Challenge

1Challenge

2Challenge

3Challenge

1Challenge

2Challenge

3Challenge

1Challenge

2Challenge

3Challenge

1Challenge

2Challenge

3Challenge

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Progre s s Guide 5

Progress Guide 5Unit 1, Week 1: Number - Number and place valueLesson 1, Extension: 5-digit puzzle

1 Various answers beginning with 24 and ending with 6.

2 No answers.

Lesson 2, Support: 5-digit counting

No answers.

Lesson 3, Extension: Beyond 100 000

1 a 99 987 count on in tens to 100 077b 102 561 count on in tens to 102 651c 135 549 count back in tens to 135 459d 147 964 count back in tens to 147 874

2 a 99 752 count on in hundreds to 100 652

b 100 083 count on in hundreds to 100 983

c 174 499 count back in hundreds to 173 599

d 185 628 count back in hundreds to 184 728

Lesson 4, Support: 4-digit rounding

a 4870 4872 4880

b 7390 7393 7400

c 5060 5064 5070

d 9310 9316 9320

e 6740 6748 6750

f 8320 8325 8330

Unit 1, Week 2: Number - Addition and subtractionLesson 1, Support: Using the number line

1 a 1814 f 3889b 2922 g 5221c 3125 h 6889d 7478 i 7645e 8225 j 9661

Lesson 2, Extension: Stepping stones

1 a–f Answers will vary.

Lesson 3, Support: Find the difference

1 a 1702 e 5851b 2705 f 6622c 4251 g 7333d 4202 h 8527

Lesson 2: Data in tables

1

Roasting time In minutes

Mass in kilograms

0.5 1 1.5 2 2.5 3 3.5

Lamb 30 60 90 120 150 180 210

Chicken 20 40 60 80 100 120 140

2 a 60 min; 1 hb 120 min; 2 hc 100 min; 1 h 40 mind 210 min; 3 h 30 min

1

Roasting timeIn minutes

Mass in kilograms

1 2 3 4 5

Beef 60 100 140 180 220

Lamb 80 130 180 230 280

Turkey 90 150 210 270 330

2 a 3 kg b 4 kg

3 a 260 min; 4 h 20 minb 330 min; 5 h 30 minc 390 min; 6 h 30 min

4 a 12:40 p.m. c 10:30 a.m.b 11:30 a.m.

5 a 9°Cb i 24°C ii 22°C

The graph shows roasting time for 3 12 kg of beef at 140 minutes. Add 20 minutes to give the correct time for the roast as 160 minutes.

Lesson 3: Time graphs

1

Time (min) Water (l)0 0

5 10

10 20

15 30

20 40

25 60

30 80

2 After 20 minutes

3 70 litres

1

Time (h) Diesel (l)0 321 262 213 604 435 436 397 31

2

Time (h)

Diesel level in tank

Die

sel (l)

00 1 2 3 4 5 6 7

10

20

30

40

50

60

3 a 60 litresb 11 litresc 3 hours

d 16 litrese After 4 hoursf 52 litres

g i at 5 12 hours

ii at 6 12 hours

1

Time (p.m.)

Water levels

Wat

er (

ml)

01:00 1:30 2:00 2:30 3:00 3:30 4:00

100

200

300

400

500

600

2 Answers will vary.

Lesson 4: Presenting the data

1

Month Sept Oct Nov Dec Jan Feb Mar Apr May June July

Income (£)

24 30 34 16 10 26 32 20 28 36 32

2 a June b January

3 November, March, June, July

4 a November to Decemberb £18

5 School holidays

1, 2 Answers will vary.

Answers will vary.

1Challenge

3Challenge

1Challenge

2Challenge

3Challenge

1Challenge

2Challenge

3Challenge

2,3Challenge s

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Progre s s Guide 5

Lesson 4, Extension: What are the scores?

1 Ashraf 18 300 Ben 13 100 Holly 10 500

2 Ashraf 4800 Ben 6500 Holly 5900

3 Answers will vary

Unit 1, Week 3: Geometry - Properties of shapeLesson 1, Support: Faces, edges and vertices

1

3-D shape Triangle Square Rectangle Pentagon

Total number of faces

A 6 6

B 4 1 5

C 6 6

D 2 3 5

E 5 2 7

2

Shape A Shape B Shape C Shape D Shape E

Number of edges 12 8 12 9 15

Number of vertices 8 5 8 6 10

Lesson 2, Extension: Euler’s rule

1

Number of

Faces (F)

Vertices (V)

Edges (E)

Faces + Vertices(F + V)

cube 6 8 12 14

hexagonal prism 8 12 18 20

cuboid 6 8 12 14

square-based pyramid 5 5 8 10

triangular prism 5 6 9 11

octahedron 8 6 12 14

pentagonal prism 7 10 15 17

tetrahedron 4 4 6 8

dodecahedron 12 20 30 32

pentagonal-based pyramid 6 6 10 12

2 No

Lesson 4, Support: Investigating 3-D shapes made with 4 cubes

You may wish to allow reflections of these shapes.

Lesson 4, Extension: Investigating 3-D shapes made with 5 cubes

Unit 2, Week 1: Number - Multiplication and divisionLesson 1, Support: Multiplying by 9 using 10 and adjusting

a 1 230 → 207

b 2 450 → 405

c 3 670 → 603

d 4 890 → 801

e 5 560 → 504

f 6 480 → 432

g 7 370 → 333

h 8 590 → 531

i 9 320 → 288

j 10 430 → 387

k 11 210 → 189

l 12 520 → 468

m 13 650 → 585

n 14 910 → 819

Lesson 1, Extension: Multiplying by 9, 99 using 10, 100 and adjusting

Game

Lesson 4, Support: Multiplying and halving

1 a 62 × 10 = 620 ÷2 = 310

b 48 × 10 = 480 ÷2 = 240

c 26 × 10 = 260 ÷2 = 130

d 45 × 10 = 450 ÷2 = 225

e 67 × 10 = 670 ÷2 = 335

f 53 × 10 = 530 ÷2 = 265

2 a 42 × 100 = 4200 ÷2 = 2100

b 28 × 100 = 2800 ÷2 = 1400

c 64 × 100 = 6400 ÷2 = 3200

d 25 × 100 = 2500 ÷2 = 1250

e 65 × 100 = 6500 ÷2 = 3250

f 47 × 100 = 4700 ÷2 = 2350

Lesson 4, Extension Multiplying and halving

Game

Unit 2, Week 2: Number - FractionsLesson 1, Support: Fractions of quantities

1 a 12 d 1

5

b 13 e 1

6

c 14 f 1

7

2 a 23 d 2

6

b 34 e 5

6

c 45 f 2

5

Lesson 2, Extension: Mystery terms

1 7 122 Answers will vary

3 a 13 c 25

b 17 12 d 50

Lesson 3, Support: Tile fractions

1 a Eighths d Twelfthsb Tenths e Sixthsc Quarters f Eighths

2 No answers.

3 a 48 d 6

12

b 510 e 3

6

c 24 f 4

8

4 They are the same fraction.

Lesson 4, Extension: Farey sequences

1 01

14

13

12

23

34

11

2 01

15

14

13

25

12

35

23

34

45

11

580

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Progre s s Guide 5

Unit 2, Week 3: Geometry: Position and directionLesson 1, Support: Border patterns

Open

Lesson 3, Extension: Create translating shapes

Open

Lesson 4, Support: 2-step translations

1 a

6

00

1

2

3

4

5

1 2 3 4 5 6

A

B

x

y

b (4, 2) (4, 5) (6, 2)

2 a

6

00

1

2

3

4

5

1 2 3 4 5 6

D

C

x

y

b (1, 1) (1, 3) (3, 3)

3 a

6

00

1

2

3

4

5

1 2 3 4 5 6

E

F

x

y

b (2, 2) (2, 4) (4, 4) (3, 2)

4 a

6

00

1

2

3

4

5

1 2 3 4 5 6

H

G

x

y

b (2, 2) (0, 5) (1, 5) (3, 2)

Lesson 4, Extension: 2-step translations

1, 3

00 1

1

2

3

4

5

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

123456789

101112

x

y

2

Shape

Corresponding vertices

x co-ordinate

y co-ordinate

1 0 12

2 3 10

3 6 8

4 9 6

5 12 4

Unit 3, Week 1: Number - Addition and subtractionLesson 1, Extension: Missing calculations

Answers will vary.

Lesson 2, Extension: Palindrome challenge

Answers will vary.

Lesson 3, Support: 4-digit calculations

a 8386b 6017c 8801d 8289e 8617f 8583g 6917h 9198i 7972j 9826k 12 114

Lesson 4, Support: Rounding 5-digit numbers

a 24 200b 19 700c 26 100d 32 600e 35 300f 39 400g 42 800

Unit 3, Week 2: Number - Decimals Lesson 1, Extension: Decimals to 3 places

1 a 2541000 d 207

1000

b 1891000 e 628

1000

c 3671000 f 126

1000

2 Answers will vary.

3 Answers will vary.

4 a 25100 254

1000 26100

b 18100 189

1000 19100

c 36100 367

1000 37100

d 20100 207

1000 21100

e 62100 628

1000 63100

f 12100 126

1000 13100

Lesson 2, Support: Complements of 1

a 0·74 + 0·26 = 1b 0·58 + 0·42 = 1c 0·49 + 0·51 = 1d 0·26 + 0·74 = 1e 0·82 + 0·18 = 1f 0·37 + 0·63 = 1g 0·63 + 0·37 = 1

Lesson 3, Extension: Decimal number line

1 No answers.

2

Rounded to the nearest whole

number

Rounded to the nearest decimal

to 1 place

7·28 down to 7 up to 7·3

7·4 down to 7 7·4

7·23 down to 7 down to 7·2

7·81 up to 8 down to 7·8

7·95 up to 8 up to 8·0

7·6 up to 8 7·6

7·358 down to 7 up to 7·4

7·44 down to 7 down to 7·4

7·603 up to 8 down to 7·6

7·99 up to 8 up to 8·0

7·73 up to 8 down to 7·7

7·04 down to 7 down to 7·0

Lesson 4, Support: Follow the rule

1 a 3·2, 3·3 sequence increasing by 0·1b 5·6, 5·7 sequence increasing by 0·1c 8·4, 8·5 sequence increasing by 0·1

2 a 1·6, 1·8 sequence increasing by 0·2b 3·2, 3·4 sequence increasing by 0·2c 5·1, 5·3 sequence increasing by 0·2

3 a 4·26, 2·27 sequence increasing by 0·01b 3·19, 3·20 sequence increasing by 0·01c 7·55, 7·56 sequence increasing by 0·01

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Progre s s Guide 5

4 a 5·34, 5·36 sequence increasing by 0·02 8·71, 8·73 sequence increasing by 0·02 6·03, 6·05 sequence increasing by 0·02

Unit 3, Week 3 - Measurement (mass)Lesson 1, Extension: Guessing the mass

1

Name Guess

a Lee 5050 g

b Fiona 4830 g

c Peter 4750 g

d Ros 5020 g

e Chris 5160 g

f Beth 5047 g

g Sandra 4900 g

2 a 5020 g b Ros

3 20 g

4 410 g

5 No

Lesson 2, Extension: Honeycomb masses

1 a 12 lb ≈ 230 g 11

4 lb ≈ 570 g

34 lb ≈ 340 g 11

2 lb ≈ 680 g

b 114 lb

c 0·1 kgd 690 g

2 a 9 gb 103 days

Lesson 2, Support: Metric and imperial card game (1)

Open

Lesson 3, Support: Masses of chocolate

Open

Unit 4, Week 1: Number - Multiplication and divisionLesson 1, Extension: Square and cube numbers

1 a 125 f 1728b 108 g 1125c 2916 h 343d 98 i 10 000e 216

2 a

15 × 15 = 225 → (10 × 20) + 25 11 x 11 = 121

25 × 25 = 625 → (20 × 30) +25 21 x 21 = 441

35 × 35 = 1225 → (30 × 40) +25 31 x 31 = 961

45 × 45 = 2025 → (40 × 50) +25 41 x 41 = 1681

55 × 55 = 3025 → (50 × 60) + 25 51 x 51 = 2601

65 × 65 = 4225 → (60 × 70) +25 61 x 61 = 3721

75 × 75 = 5625 → (70 × 80) +25 71 x 71 = 5041

85 × 85 = 7225 → (80 × 90) +25 81 x 81 = 6561

95 × 95 = 9025 → (90 × 100) +25 91 x 91 = 8281

b Answers will vary.

Lesson 2, Support: Multiplying ThHTO × 0

1 a 12 180 b 40 077

2 a 13 608 b 18 465

Lesson 3, Support: Multiples and factors

Answers will vary.

Lesson 3, Extension: Multiples and factors

1 a, b, c Answers will vary.

2 The final line of each factor tree is made up of all of the prime factors of the number.

3 A factor tree does not show all of the factors of a number.

Unit 4, Week 2: Number - Multiplication and divisionLesson 1, Support: Prime numbers

1 Open

2 2, 3, 5, 7 Prime numbers are numbers that have only two factors, itself and one.

Lesson 1, Extension: Prime numbers

1 Answers will vary.

2 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199There are more prime numbers between 1 and 100.

3 a There is only one even prime number, which is 2.

b All other even numbers have more than two factors.

4 December 16 and December 31

5 The statement by Levy is thought to be correct. Children’s examples will differ.

Lesson 3, Support: Division ThHTO ÷ 0 using mental methods

a 121b 903c 73d 408e 31f 804g 72h 1006i 507j 802k 408l 803m 2408n 604

Lesson 4, Extension: Solving problems

1 a 512 d 720b 338 e 608c 432 f 864

2 a 31 d 12b 15 e 15c 5 f 15

Unit 4, Week 3: Measurement (time)Lesson 2, Support: Mini marathon times

1 School Finish time

Forrest 4:21 p.m.

Greenside 4:33 p.m.

Hayston 4:48 p.m.

Meadow 4:42 p.m.

St Andrew’s 4:19 p.m.

2 School Finish time

1 St Andrew’s 16:19

2 Forrest 16:21

3 Greenside 16:33

4 Meadow 16:42

5 Hayston 16:48

3 a 2 min b 29 min c 9 min

4 1 h 40 min

Lesson 2, Extension: 5-a-side tournament

1, 2, 3, 4 Open

Lesson 3, Support: Time machine

1 2012, 2020, 1984, 1976 are leap years2 Open

Lesson 3, Extension: Calendar patterns

1 a 32b For each pair of diagonals the sum is

the same.c For any 3 by 3 or 4 by 4 square the

sum of the diagonals is the same.

2 a sum = 80, middle number = 20 The sum of the four corner numbers

is 4 times the middle number.b Yesc Same results as in 2b.

Unit 5, Week 1: Number - Number and place valueLesson 1, Extension: 6-digit puzzle

Answers will vary.

582

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Progre s s Guide 5

Lesson 2, Support: Counting in 10s

1 54 872 count forward in tens to 54 962

23 165 count forward in tens to 23 255

41 324 count forward in tens to 41 414

76 776 count back in tens to 76 686

62 179 count back in tens to 62089

2 12 653 count on in hundreds to 13 553

26 334 count on in hundreds to 27 234

35 721 count on in hundreds to 36 621

49 815 count back in hundreds to 48 915

58 388 count back in hundreds to 57 488

Lesson 3, Extension: World temperatures

1 a 13°C e 12°Cb 22°C f 33°Cc 23°C g 42°Cd 61°C h 68°C

2 Answers will vary.

3 Open

Lesson 4, Support: Using negative number lines

1 16 °C

2 12°C

3 – 4°C

4 –£7

5 £7

6 – £5

Unit 5, Week 2: Number - Addition and subtractionLesson 1, Extension: Subtraction calculations trail

972 826 968 726 768 726698 726 692 226 676 226526 226 486 226 479 026419 026 119 026 22 026–178 674 –203 674

Lesson 2, Extension: Subtraction investigation

= 1 = 2 = 3 = 4 = 5 = 5 = 6 = 7 = 8 = 9 = 3 = 3 = 3 = 3 = 3

Lesson 3, Support: 4-digit subtraction

a 4234 g 4398b 5363 h 6304c 4724 i 4257d 3772 j 4667e 6266 k 4283f 4821 l 3347

Lesson 4, Support: Adding and subtracting decimal numbers

1 a 79·24 d 79·29b 79·27 e 78·04c 83·19 f 95·29

2 a 32·84 d 26·86b 23·56 e 44·92c 22·63

Unit 5, Week 3: Geometry - Properties of shapeLesson 1, Support: Angle families

Open

Lesson 2, Support: Angles in a hexagon

Angle a = 60ºAngle a is acute

Angle b = 90ºAngle b is a right angle.

Angle c = 120ºAngle c is a obtuse

Angle d = 60ºAngle d is acute

Angle e = 30ºAngle e is acute

Lesson 2, Extension: Angles in an octagon

Open

Lesson 3, Extension: Angles in a pentagon

1 a

Angle a b c d e f

Degrees 72º 72º 54º 54º 72º 72º

b The angles subtended at the centre of a pentagon by its sides are equal, each being 360º ÷ 5 = 72º, as found for a and b.

The exterior angles are also equal, each being 360º ÷ 5 = 72º, as found for e and f.

Angle c = Angle d = (180º – 72º) ÷ 2 = 54º.

2 a

Angle k l m n o p q

Degrees 36º 72º 36 36º 36º 72º 36º

b angle (k + l) = 108º angle (m + n + o) = 108ºc The interior angles of a regular

pentagon are all equal to 108º.

3 a

Angle x y x

Degrees 108º 108º 108º

b

Unit 6, Week 1: Number - Multiplication and divisionLesson 1, Support: Division HTO ÷ O with a remainder

a 88 r1 e 74 r1b 42 r1 f 88c 78 r3 g 84 r1d 34 r4 h 52 r8

Lesson 3, Extension: Division HTO ÷ O with a decimal remainder

a 128·83 e 61·5b 65·75 f 47·44c 73 g 69·33d 126·4 h 155·75

Lesson 4, Support: Solving word problems: rounding remainders

a 85 d 34b 65 e 36c £780 f 45

Lesson 4, Extension: Solving problems: rounding remainders

a 185 d 37b 8 e 146c £3180 f 145

Unit 6, Week 2: Number - FractionsLesson 1, Support: Hundredths

1 Answers will vary.

2 No answers.

3 Answers will vary.

Lesson 2, Extension: Highest fraction

No answers.

Lesson 3, Support: Fraction addition

1 a 34

b 57

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Progre s s Guide 5

2 a 912 f 5

6

b 59 g 7

8

c 610 h 9

11

d 45 i 6

10

e 89

Lesson 4, Extension: Spend, spend

£1 200 000

Unit 6, Week 3: Measurement (length)Lesson 1, Extension: Money measures

1 1p 20 mm, 2 cm 0 mm, 2·0 cm 2p 26 mm, 2 cm 6 mm, 2·6 cm 5p 18 mm, 1 cm 8 mm, 1·8 cm 10p 24 mm, 2 cm 4 mm, 2·4 cm £1 22 mm, 2 cm 2 mm, 2·2 cm

2 a 50p c £50b £5 d £500

Lesson 2, Support: Metric and imperial card game (2)

Open

Lesson 2, extension: Inches and centimetres

1 a grip = 150 mm = 15 cm b point = 300 mm = 30 cm c length = 2625 mm = 262.5 cm

2 a diameter = 225 mm = 22.5 cm b thickness = 50 mm = 5 cm

3 a 105 cm b 82.5 cm

Lesson 3, Support: Ribbon lengths

1 A 0.6 E 1.45 m B 0.86 m F 1.89 m C 1.13 m G 2.07 m D 1.21 m

2 a 0.26 m c 0.44 m b 0.08 m

3 a 2.07 m c 3.02 mb 3.52 m

Unit 7, Week 1: Number - Decimals Lesson 1, Support: Decimal hundredths

1 0·34 = 34100 0·95 = 95

100

0·87 = 87100 0·07 = 7

100

0·03 = 3100 0·75 = 75

100

0·70 = 70100 0·29 = 29

100

0·61 = 61100 0·99 = 99

100

0·18 = 18100 0·42 = 42

100

2 70100 = 7

10

Lesson 2, Extension: Three in a row

No answers.

Lesson 3, Support: Rounding hundredths

1 a 4 d 8b 3 e 7c 4

2 a 2·9 d 6·4b 5·2 e 3·5c 9·5

Lesson 4, Extension: Decimal puzzles

1 a 23·568 d 68·532b 35·268 e 83·652c 38·652 f 63·852

2 a No answersb Answers will vary.c Answers will vary.

3 a No answersb Answers will vary.

Unit 7, Week 2: Number - Addition and subtractionLesson 1, Extension: Square totals

No answers.

Lesson 2, Support: Decimal jumping

a 1·1 e 0·9b 0·6 f 0·5c 0·8 g 0·8d 0·9 h 0·8

Lesson 3, Extension: Decimal in the middle

Answers will vary.

Lesson 4, Support: Decimal adding

1 a 30·2 15 15·2 7·7 7·3 7·9 3·2 4·5 2·8 5·1

b 19·3 5 14·3 2·1 2·9 11·4 1·5 0·6 2·3 9·1

c 47.6 22·9 24·7 10·4 12·5 12·2 3·3 7·1 5·4 6·8

d 38.2 17·8 20·4 9·3 8·5 11·9 5·4 3·9 4·6 7·3

e 36.6 21·5 15·1 11·3 10·2 4·9 2·8 8·5 1·7 3·2

f 29.7 15·6 14·1 10·9 4·7 9·4 6·7 4·2 0·5 8·9

2 Answers will vary.

Unit 7, Week 3: StatisticsLesson 1, Support: Visitors to the castle

1

0

10

Year

Visitor numbers for 2004–2013

20

30

40

50

60

70

80

2004

2005

2006

2007

2008

2009

2010

2011

2012

2013

Num

ber o

f vis

itors

(tho

usan

ds)

2 2011

3 2009 and 2010

4 2012

5 25,000

6 Answers will vary.

584

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Progre s s Guide 5

Lesson 1, Extension: Cycling club outing

1

010:00 11:00 12:00 13:00 14:00

10

20

30

40

50

60

70

80

90

100

Dis

tanc

e (k

m)

Time

Cycling club outing

2 a 22 km b 38 km c 53 km

3 a 13:45 b 10:15

4 Answers will vary.

5 Answers will vary.

Lesson 3, Support: Travel times

1

Terminal A Terminal B

Train Leaves at Train Leaves at

1 10:30 1 10:03

2 10:36 2 10:09

3 10:42 3 10:15

4 10:48 4 10:21

5 10:54 5 10:27

6 11:00 6 10:33

2 a

Depart London

07:05 09:00 10:55 12:55 15:30 17:00 19:15 21:45

Arrive Glasgow

08:20 10:15 12:10 14:10 16:45 18:15 20:30 23:00

b 11:15 c 12:30 d 1 h 38 min

Lesson 4, Extension: Party time

1

10:000

50

100

150

200

250

300

350

400

450

500

10:30 11:00 11:30 12:00 12:30 13:00Time

Orange Squash at Ethan’s Party

Ora

nge

squa

sh in

jug

(ml)

2 a 100 ml b 150 ml c 250 ml

3 10:20, 11:30, 12:45

4 600 ml

5 Answers will vary.

Unit 8, Week 1: Number - Multiplication and divisionLesson 1, Support: Multiplication TO × TO using partitioning

a 1802 e 1566b 1512 f 2688c 1620 g 3658d 2006 h 1701

Lesson 2, Support: Multiplication TO × TO using partitioning and the grid method

a 2352 d 2530b 1190 e 1632c 1677 f 1961

Lesson 2, Extension: Multiplication TO × TO

No answers.

Lesson 3, Extension: Multiplication TO × TO using the expanded written method

Calculations and answers will vary.

Unit 8, Week 2: PercentagesLesson 1, Extension: Fractions and percentages

1 a 10% e 70%b 40% f 20%c 90% g 75%d 25% h 20%

2 They are both 20%.Explanations will vary.

Lesson 2, Support: Percentages

1 No answers.

2 a 60% d 100%b 15% e 50%c 75%

Lesson 3, Extension: Socks and percentages

1 20 spotty socks 10 stripy socks 4 white socks 6 plain socks

2 Answers will vary.

3 Answers will vary.

Lesson 4, Support: Fifty per cent

1 No answers.

2 a £34 d 310 mlb 70 km e £250c 100 g f 425 kg

3 Answers will vary.

Unit 8, Week 3: Measurement (perimeter and area)Lesson 1, Support: Puzzling pentominoes

1 Polygon A B C D E F G H

Perimeter in cm 12 12 12 12 12 10 12 12

2 Answers will vary.

Lesson 1, Extension: Perimeter search

1 Open2 Polygon A B C D E F

Perimeter in cm 14 18 16 16 20 18

3 Open

Lesson 2, Support: Area of rectangles

1 l = 4 cm, b = 2 cm, A = 8 cm2

2 l = 6 cm, b = 4 cm, A = 24 cm2

3 l = 8 cm, b = 4 cm, A = 32 cm2

Lesson 2, Extension: Investigating areas

1 a

Length in metres

9 8 7 6 5 4 3 2 1

Breadth in metres

1 2 3 4 5 6 7 8 9

Area in m2 9 16 21 24 25 24 21 16 9

b length 5 m and breadth 5 m

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2 a

Length in metres

11 10 9 8 7 6 5 4 3

Breadth in metres

1 2 3 4 5 6 7 8 9

Area in m2 11 20 27 32 35 36 35 32 27

b 36 m2

Unit 9, Week 1: Number - Number and place valueLesson 1, Extension: 6-digit puzzle

59 049

Lesson 2, Support: Round to the nearest 1000

1 a 63 000 63 429 64 000

b 28 000 28 682 29 000

c 42 000 42 235 43 000

d 55 000 55 520 56 000

e 89 000 89 973 90 000

f 37 000 37 810 38 000

g 17 000 17 999 18 000

h 63 000 63 752 64 000

2 Answers will vary.

Lesson 3, Extension: Palindromic numbers

91

Lesson 4, Support: Missing numerals

2 = II 52 = LII5 = V 56 = LVI7 = VII 59 = LIX12 = XII 63 = LXIII16 = XVI 67 = LXVII18 = XVIII 70 = LXX23 = XXIII 71 = LXXI25 = XXV 75 = LXXV30 = XXX 78 = LXXVIII32 = XXXII 82 = LXXXII34 = XXXIV 85 = LXXXV36 = XXXVI 88 = LXXXVIII41 = XLI 91 = XCI44 = XLIV 94 = XCIV47 = XLVII 98 = XCVIII

Unit 9, Week 2: Number - Addition and subtractionLesson 1, Extension: Spin to win

No answers.

Lesson 2, Extension: Which digit where?

7 6 4

2 8 9

1 0 5 3

Lesson 3, Support: More written subtraction

a 18 432 g 22 464b 14 733 h 22 423c 22 363 i 23 191d 22 214 j 36 257e 16 232 k 23 209f 34 645 l 46 234

Lesson 4, Support: Fair problems

a £947 d £16 040b £128 e £2 634c £5 813 f £1 799

Unit 9, Week 3: Geometry: Properties of shapesLesson 1: Extension: Three-piece rectangle

1 90°, 45°, 90°, 67°, 45°

2 No answers.

3 a 45°, 67°, 68°b 67°, 90°, 90°, 113°c 68°, 68°, 90°, 134°d 67°, 67°, 113°, 113° 45°, 45°, 135°, 135° 68°, 68°, 112°, 112°

Lesson 2, Support: Measuring diagonals

1 a b c

d e

f

g h

2 a 5.3 cm, 3.2 cmb 5.7 cm, 4.4 cmc 5.2 cm, 4.7 cmd 6.6 cm, 3.7 cme 5.5 cm, 5.5 cmf 6.2 cm, 2.7 cmg 4.6 cm, 5.7 cmh 4.8 cm, 4.1 cm

Lesson 2: Extension: Dazzling diagonals

1

2 a 1211 1

10 2

9 3

8 4

7 56

b 12 sidesd 9

Lesson 4, Support: Mountain bike rally angles

Turn A B C D E F

Angle 100° 130° 89° 53° 108° 65°

Unit 10, Week 1: Number - Multiplication and division, incl. Measurement (money)Lesson 1, Support: Multiplication ThHTO × O, Division ThHTO ÷ O, using the most efficient method

No answers.

Lesson 2, Support: Multiplying and dividing by 10, 100, 1000 including decimals

Jamie: 62, 620, 62 000, 62, 6200, 62, 6.2

Sam: 84, 84 000, 8400, 840 000, 840, 84, 840

Barry: 37, 3700, 370, 37 000, 370 000, 3700, 37

The winner was: Sam

Lesson 2, Extension: Multiplying and dividing by whole numbers and decimals

A B C D E F G H I

25 250 ÷25 3600 3·6 ×10 1800 90 0·09

J K L M N O P Q R

×1 9 27 000 ÷10 000 54 ×1000 540 ÷90 ÷100

S T U V W X Y Z

0·6 ×80 1200 ×20 ÷80 ÷1000 30 1

Lesson 4, Extension: The Bryant ski trip

a £1744 d £1092b £1720 e £3500c £952 f £9008

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Unit 10, Week 2: Number - Fractions Lesson 1, Extension: Baking fractions

1 42 pints milk

43 bags flour

125 bags sugar

48 jar chocolate spread

288 blocks butter

2 2 pints milk

1 13 bags flour

2 25 bags sugar

48 jar chocolate spread

3 48 blocks butter

3 2 pints milk 2 bags flour 3 bags sugar 1 jar chocolate spread 4 blocks butter

Lesson 2, Support: Improper fractions

1 No answers.

2 a 1 23 e 2 12

b 1 34 f 2 38

c 1 46 g 3 14

d 2 35 h 2 47

Lesson 3, Extension: Pizza fractions

1 a 4 pizzas c 3 slicesb 2 slices

2 a 6 pizzas b 45

3 No answers.

Lesson 4, Support: Mixed numbers

No answers.

Unit 10, Week 3: Measurement (volume and capacity)Lesson 2, Extension: Pints and litres card game

Open

Lesson 3, Support: Stacking the shelves

1 a 7 cubes, 18 cm3

b 9 cubes, 30 cm3

c 12 cubes, 36 cm3

d 8 cubes, 18 cm3

Lesson 4, Support: Linking litres and millilitres

Water level Litres Millilitres

full 0.9 l 900 ml

to 1 l 0.1 l 100 ml

full 0.8 l 800 ml

to 1 l 0.2 l 200 ml

full 0.7 l 700 ml

to 1 l 0.3 l 300 ml

full 0.55 l 550 ml

to 1 l 0.45 l 450 ml

full 0.4 l 400 ml

to 1 l 0.6 l 600 ml

full 0.25 l 250 ml

to 1 l 0.75 l 750 ml

full 0.15 l 150 ml

to 1 l 0.85 l 850 ml

Lesson 4, Extension: Preserving food

Open

Unit 11, Week 1: Number - Addition and subtraction, incl. Measurement (money)Lesson 1, Extension: Number square mystery

One solution is:34·26, 10·48, 11·54, 43·7234·26, 13·27, 35·64, 16·8343·72, 6·49, 28·34, 21·4516·83, 25·73, 35·99, 21·45

Lesson 2, Support: Target 7000

1 Open

2 Answers will vary.

Lesson 3, Extension: Race to your target

No answers.

Lesson 4, Support: Missing prices

1 Eurostar to Paris £535 African Safari £2124 Everest Adventure £5624 Taj Mahal Discovery £3300 Flight to Australia £1725

2 Answers will vary.

Unit 11, Week 2: Number - Fractions, incl. decimals and percentagesLesson 1, Extension: Percentage mix up

Percentage Fraction Decimal

12.5% 18 0.125

25% 14 0.25

30% 310 0.3

37.5% 38 0.375

40% 410 0.4

50% 12 0.5

60% 35 0.6

70% 710 0.7

75% 34 0.75

75% 34 0.75

80% 45 0.8

90% 910 0.9

Lesson 2, Support: Twenty five per cent

1 No answers.

2 a £21 d 90 mlb 80 km e £220c 250 g f 135 kg

Lesson 3, Support: Ten per cent sale

a £4.50b £6.30c £13.50d £12.60e £1.80

Lesson 4, Extension: Would you rather?

a 75% of 80pb 60% of 2 pizzasc 15% of 120 bugsd 85% of 270 cme 35% of 2 hours

Unit 11, Week 3: Geometry - Position and directionLesson 1, Support: Clear reflections

1 a b

c d

e

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2

Lesson 2, Support: Peg Board

Open

Lesson 2, Extension: Hour glass designs

Lesson 4, Extension: On reflection

1

00123456789

10111213141516

y

x1 2 3 4 5 6 7 8 9 10 11 12 13 14

PP’

P’’ P’’’

Q’

Q’’ Q’’’

Q

15 16

2

1st quadrant

2nd quadrant

3rd quadrant

4th quadrant

P = (12, 14) P′ = (4, 14) P′′ = (4, 2) P′′′ = (12, 2)

Q = (14, 12) Q′ = (2, 12) Q′′ = (2 ,4) Q′′′ = (14, 4)

Unit 12, Week 1: Number - Multiplication and division, incl Measurement (money)Lesson 1, Support: Multiplication HTO × TO using partitioning

a 13 462 e 21 808b 14 672 f 22 976gc 16 290 g 38 471d 16 928 h 14 605

Lesson 2, Support: Multiplication HTO × TO using partitioning and the grid method

a 10 752 e 20 091b 7990 f 37 324c 15 437 g 30 912d 23 980

Lesson 2, Extension: Multiplication HTO × TO using partitioning and the grid method

No answers needed.

Lesson 3, Extension: Multiplication HTO × TO using the expanded written method

Answers will vary.

Unit 12, Week 2: Number - Multiplication and division, incl. Measurement (money)Lesson 1, Support: Division ThHTO ÷ O with a decimal remainder

a 863·25 e 754·66b 431·2 f 590·12c 853·75 g 709·25d 599·25 h 584

Lesson 1, Extension: Division ThHTO ÷ TO with a decimal remainder

a £1460.83 per monthb £876.55 per monthc £8765 + £9138 = £17 903.

Difference = £373d £9138 – £2284.50 = £6853.50e £9768 ÷ 6 = 1628 1628÷10 = 162.80 1628 + 162.80 = 1790.80 £1790.80 per monthf i 8765 ÷ 8 = 1095.62

1095.62 ÷ 4 = 273.90 1095.62 + 273.9 = 1369.52 £1369.52 per monthii 1369.52 × 8 = 10 956.16 Total cost of car = £10 956.16

Lesson 2, Support: Division ThHTO ÷ O with a fraction remainder

a 663 14 d 345 38

b 434 38 e 341 14

c 161 13 f 543 12

Lesson 4, Extension: Solving money problems

1 a 935 plants can be bought. There is £3 remaining.

b 2336·50 + 467·30 = 2803·80 Total monthly outlay = £2803.80c £3.80 d 887·25 kge 250 g of clotted cream f £3.12

2 Answers will vary.

Unit 12, Week 3: StatisticsLesson 1, Support: At the chemist’s shop

Graph A cold remedies: fewer people have colds in the summer than in the winter

Graph B shampoo: people use shampoo throughout the year

Graph C sun lotion: little need for sun lotion in the winter months in the UK

Graph D Christmas gifts: people begin to buy Christmas gifts from late summer onwards

Lesson 2, Extension: School lunch menu

6 bags of potatoes16 punnets of mushrooms30 packs of peppers24 strings of onions28 tins of chopped tomatoes

Lesson 3, Support: Coach temperatures

1

9:0

0

16

18

20

22

9:10

9:20

9:30

Time

Temperature in coach

Tem

pera

ture

(°C

)

9:40

9:50

10:00

10:10

2 9:20 and 9:30

3 a 9:30 b 6 degrees

4 a 20.5°C b 16.5°C

5 Answers will vary.

Lesson 3, Extension: Keeping warm

1

00 5 10 15

Time (min)

Tem

pera

ture

(°C

)

Temperature readings

20 25

20

30

40

50

60

2 a 7°C b 9°C c 10°C

3 The feather filled bag retains the heat of the bottle for longer.

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Homework Guide 5

Homework Guide 5Unit 1, Week 1: Number - Number and place valueLesson 2: Get in order

Answers will vary.

Answers will vary.

Answers will vary.

Lesson 4: Rounding numbers

3600 3628 3700

6100 6117 6200

2900 2974 3000

4000 4062 4100

8200 8258 8300

7500 7524 7600

5400 5428 5500

8400 8499 8500

36 800 36 873 36 900

19 900 19 996 20 000

39 200 39 287 39 300

62 000 62 082 62 100

73 500 73 501 73 600

49 300 49 388 49 400

51 900 51 911 52 000

64 900 64 903 65 000

89 700 89 765 89 800

99 800 99 899 99 900

87 800 87 898 87 900

99 900 99 999 100 000

104 500 104 576 104 600

45 300 45 376 45 400

176 200 176 294 176 300

203 400 203 405 203 500

Unit 1, Week 2: Number - Addition and subtractionLesson 2: Mental methods

Answers will vary.

Answers will vary.

Answers will vary.

Lesson 4: Making problems

a 7572 b 5421

a 8672

b 41 235 – 600 = 40 635 40 635 + 200 = 40 835

a 85 269 – 67 834 = 17 435 Leroy: 76 434 Samuel: 93 869b 75 199 – 12999 = 62 200 62 200 – 6400 = 55 800

Unit 1, Week 3: Geometry - Properties of shapeLesson 2: About 3-D shapes

Property A B C D E F G H

is a prism ✓ ✗ ✓ ✗ ✓ ✗ ✓ ✓

has no right-angled faces ✗ ✗ ✗ ✓ ✗ ✓ ✗ ✗

has 8 vertices ✓ ✗ ✗ ✗ ✗ ✗ ✓ ✗

has 3 edges at each vertex ✓ ✗ ✓ ✗ ✓ ✓ ✓ ✓

Property A C E G H

Number of faces 6 8 7 6 5

Number of edges of an end face 4 6 5 4 3

The number of edges of an end face of a prism is 2 less than the total number of faces of a prism.

Lesson 3: Points of view

top view

G Y

B

R

R Y R B Y

front view side view

top view

G

Y

B R

B

G G

B R

B

G

R Y

G

R

front view side view

top view

Y

G

B

R

Y

Y

G R

B Y B

G

Y

Y

R

B

front view side view

Unit 2, Week 1: Number - Multiplication and divisionLesson 3: Multiply using multiples 10 and adjusting

a 230 d 310b 470 e 550c 620 f 760

a 266 c 874b 475 d 703

a 882 c 1476b 672 d 1537

Lesson 4: Multiplying and halving

a 140 c 85b 180 d 230

1 a 70 b 230 c 420

2 a 1200 b 3100 c 2150

a 190 c 1350b 1200

Unit 2, Week 2: Number - FractionsLesson 1: Fraction problems

£8

£35

£30

Lesson 2: Tenths and hundredths

a 10100 d 50

100

b 20100 e 60

100

c 40100 f 90

100

a 12 = 5

10 = 50100 d 8

10 = 80100

b 710 = 70

100 e 1010 = 100

100 = 1

c 310 = 30

100 f 110 = 10

100 = 220

a 610 = 60

100 = 1220 d 5

10 = 50100 = 10

20

b 310 = 30

100 = 620 e 7

10 = 70100 = 14

20

c 210 = 20

100 = 420 f 8

10 = 80100 = 16

20

Unit 2, Week 3: Geometry: Position and directionLesson 1: Translating shapes on 2-D grids

Open

1Challenge

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Homework Guide 5

Lesson 2: Completing the picture

Open

Unit 3, Week 1: Number - Addition and subtractionLesson 2: The formal written method

a 9193 d 9362b 6932 e 8803c 8097 f 9270

a 41 944 d 80 299b 58 193 e 70 148c 65 617 f 77 947

a 64 363 d 92 190b 83 581 e 95 350c 77 131 f 93 090

Lesson 4: Adding and checking

Answers will vary.

Answers will vary.

Answers will vary.

Unit 3, Week 2: Number - DecimalsLesson 2: Rounding decimals

Answers will vary.

Answers will vary.

Answers will vary.

Lesson 4: Make the sequence

Answers will vary.

Answers will vary.

Answers will vary.

Unit 3, Week 3: Measurement (Mass)Lesson 2: Grocery masses

Open

Open

Lesson 3: 3-fruit salads

1,2

Salad A B C P S Total mass (g)

1 ✓ ✓ ✓ 950

2 ✓ ✓ ✓ 1200

3 ✓ ✓ ✓ 950

4 ✓ ✓ ✓ 850

5 ✓ ✓ ✓ 600

6 ✓ ✓ ✓ 850

3 Yes

3900 g

Unit 4, Week 1: Number - Multiplication and divisionLesson 2: Multiplying ThHTO x 0

1 a 24 b 240 c 2400

2 a 54 b 540 c 5400

3 a 42 b 420 c 4200

a 22 680 c 39 879b 42 057

a

4 8 3 2× 41 9 3 2 8

b

6 5 2 7× 31 9 5 8 1

c

3 6 2 7× 93 2 6 4 3

Lesson 3: Multiples and factors

a 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70

b 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

c 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

1

36 48 72

1, 2, 3, 4, 6, 9, 12, 18, 36

1, 2, 3, 4, 6, 8, 12, 16, 24,

48

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36,

72

2 1, 2, 3, 4, 6, 12

Answers will vary.

Unit 4, Week 2: Number - Multiplication and divisionLesson 2: Division involving multiples of 10, 100, 1000

a i 7 ii 7 iii 7

b i 9 ii 9 iii 9

c i 54 ii 54 iii 54

d i 27 ii 27 iii 27

a 90 d 60 g 60b 7 e 80 h 600c 900 f 8000 i 60

Answers with vary.

Lesson 3: Division ThHTO ÷ 0 using mental methods

a > f <b > g =c < h <d > i <e >

a 906 d 506b 406 e 711c 912 f 307

Answers will vary.

Unit 4, Week 3: Measurement (time)Lesson 1: Flight times

Time in Texas

Time in Britain

Time in Holland

1:30 a.m. 7:30 a.m. 8:30 a.m.

4:30 a.m. 10:30 a.m. 11:30 a.m.

Time in Houston

Time in Glasgow

Time in Amsterdam

00:40 06:40 07:40

02:15 08:15 09:15

03:25 09:25 10:25

13:15 19:15 20:15

12 h 35 min

Lesson 3: Find your day of birth

Open

1Challenge

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3Challenge

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Homework Guide 5

Unit 5, Week 1: Number - Number and place valueLesson 1: 6-digit order

Answers will vary.

Answers will vary.

Answers will vary.

Lesson 3: Negative counting

a –18 –17 –16 –15 –14–13 –12 –11 –10 –9

b –23 –22 –21 –20 –19–18 –17 –16 –15 –14

c –44 –43 –42 –41 –40–39 –38 –37 –36 –35

d –7 –6 –5 –4 –3–2 –1 0 1 2

a –45 –40 –35 –30 –25–20 –15 –10 –5 0

b –53 –48 –43 –38 –33–28 –23 –18 –13 –8

c –26 –21 –16 –11 –6–1 4 9 14 19

d –32 –27 –22 –17 –12–7 –2 3 8 13

a –30 –27 –24 –21 –18–15 –12 –9 –6 –3

b –16 –13 –10 –7 –4–1 2 5 8 11

c –26 –23 –20 –17 –14–11 –8 –5 –2 1

d –22 –19 –16 –13 –10–7 –4 –1 2 5

Unit 5, Week 2: Number - Addition and subtractionLesson 1: Mental subtraction chains

8993, 8693, 8633, 6633,6233, 6183, 3183, 2583

59 994, 59 494, 52 494, 51 694,21 694, 21 624, 12 624, 11 824,

199 997, 199 597, 149 597, 145 297,125 297, 119 297, 106 297, 105 497,

Lesson 3: Using the formal written method

Answers will vary.

Answers will vary.

Answers will vary.

Unit 5, Week 3: Geometry - Properties of shapesLesson 1: Clockwise angles

a acute d reflexb acute e reflexc obtuse f obtuse

a acute d reflexb obtuse e reflexc reflex f reflex

Open

Lesson 4: Angles round a point

Number of

angles

Size of one angle

Sum of degrees at the point

a 6 60° 6 × 60° = 360°

b 4 90° 4 × 90° = 360°

c 3 120° 3 × 120° = 360°

a (2 × 90°) + (3 × 60°) = 360°b (2 × 90°) + (3 × 60°) = 360°c 120°+ 60° + (2 × 90°) = 360°

Unit 6, Week 1: Number - Multiplication and divisionLesson 1: Division HTO ÷ O with a remainder

56, 32, 40, 72, 64

a 73 d 82 r5b 74 r2 e 74 r2c 63 r5 f 56 r6

No remainder Remainder

448 ÷ 4164 ÷ 4

436 ÷ 5213 ÷ 5285 ÷ 4641 ÷ 8

3Challenge

Lesson 3: Division HTO ÷ O with a decimal remainder

36 54 60 24 42

a 62·5 d 98·2b 55·6 e 87·5c 49·5 f 79

a £195.25 eachb Answers will vary.c Answers will vary.

Unit 6, Week 2: Number - FractionsLesson 1: Thousandths, hundredths and tenths

No answers.

No answers.

a 2401000 = 24

100 d 5101000 = 51

100

b 101000 = 1

100 e 8801000 = 88

100

c 6701000 = 67

100 f 1901000 = 19

100

Lesson 4: Adding and subtracting fractions

a 810 + 3

10 = 1110 b 9

12 + 412 = 13

12

+ 610 = 14

10 + 712 = 16

12

– 510 = 3

10 – 312 = 6

12

– 710 = 1

10 – 612 = 3

12

a 128 + 1

2 = 168 b 15

12 + 26 = 19

12

+ 14 = 14

8 + 34 = 24

12

– 34 = 6

8 – 23 = 7

12

– 316 = 21

16 – 46 = 7

12

a 85 + 1

4 = 3720 b 5

3 + 25 = 31

15

+ 46 = 68

30 + 12 = 13

6

– 415 = 20

15 – 410 = 38

30

– 12 = 11

10 – 45 = 13

15

Unit 6, Week 3: Measurement (length)Lesson 1: Length data

Open

m cm mm

0·06 6 60

1·38 138 1380

0·15 15 150

0·75 75 750

Open

Lesson 2: At home with inches

a 3 inches ≈ 7·5 cmb 4 inches ≈ 10·0 cmc 6 inches ≈ 15·0 cmd 8 inches ≈ 20·0 cm

Open

Open

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Homework Guide 5

Unit 7, Week 1: Number - Decimals Lesson 2: Ordering decimals

Answers will vary.

Answers will vary.

Answers will vary.

Lesson 4: Footsteps

a 55·3 cm c 46·01 cmb 36·72 cm

a 64·37 cm c 69·81 cmb 79·1 cm

a 130·55 cm c 126·48 cmb 139·62 cm

Unit 7, Week 2: Number - Addition and subtractionLesson 2: Adding and subtracting decimals

Answers will vary.

Answers will vary.

Answers will vary.

Lesson 4: Building walls

66·432·6 33·816·4 16·2 17·67·9 8·5 7·7 9·92·5 5·4 3·1 4·6 5·3

75·8235·99 39·8316·96 19·03 20·87·78 9·18 9·85 10·954·2 3·58 5·6 4·25 6·7

99·7338·803 60·92717·302 21·501 22·1247·751 9·551 11·95 10·1744·5 3·251 6·3 5·65 4·524

Unit 7, Week 3: StatisticsLesson 3: Making connections

a i 50 minutes ii 35 minutesb 09:40 and 10:15

a 1 h 53 min b 37 minutes

£180

Lesson 4: Two lengths of the pool

1 50 m

2 a 20 m b 12 m c 6 m

1 a 15 s b 30 s c 40 s

2 a 12 m b 8 m c 19 m

1 a 0 – 15 s b 15 – 25 s

Unit 8, Week 1: Number - Multiplication and divisionLesson 1: Multiplication TO x TO using partitioning

1 a 42 b 420 c 4200

2 a 480 b 4800 c 48

3 a 5400 b 54 c 540

a 1512 c 1036b 3654 d 5214

a 25 × 74 = 1850b 63 × 79 = 4977

Lesson 3: Multiplication TO x TO using the expanded written method

a 49 d 270 g 2000b 640 e 4300 h 2100c 4000 f 240 i 630

a 1786 c 5372b 4368

a 4 c 3b 7 d 4 (40)

Unit 8, Week 2: PercentagesLesson 2: What’s the per cent?

No answers.

13% yellow 16% blue24% red 4% orange31% green 12% black

7% yellow 27% blue40% red 2% orange19% green 5% black

Lesson 4: Cake percentages

a 50% d 20%b 10% e 50%c 25%

a 40% d 30%b 75% e 90%c 80%

a 40% d 20%b 80% e 60%c 75%

Unit 8, Week 3: Measurement (perimeter and area)Lesson 2: Picture framing

A 9 cm2 B 20 cm2

1 No answers.

2 A 25 cm2 B 42 cm2

144 cm2

Lesson 3: Missing a length

A 5 cm B 6 cm C 8 cm

D 5 cm E 6 cm F 8 cm

Rectangle Area Perimeter Length a Length b

A 42 cm2 26 cm 7 cm 6 cm

B 60 cm2 34 cm 12 cm 5 cm

C 90 cm2 46 cm 18 cm 5 cm

Unit 9, Week 1: Number - Number and place valueLesson 1: Ordering challenge

Answers will vary.

Answers will vary.

Answers will vary.

Lesson 4: Writing Roman numerals

Roman numerals from 50 to 100.

Roman numerals from 200 to 250.

Roman numerals from 350 to 400.

Unit 9, Week 2: Number - Addition and subtractionLesson 1: Adding and subtracting decimals

Answers will vary.

Answers will vary.

Answers will vary.

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Lesson 3: Written addition and subtraction

Answers will vary.

Answers will vary.

Answers will vary.

Unit 9, Week 3: Geometry: Properties of shapeLesson 2: Intersecting diagonals

Open.

a square rhombusb square, rhombus, parallelogram

For rectangles and parallelograms the diagonals bisect each other but do not bisect at 90°.

Lesson 4: Angles in a regular hexagon

a All angles equal 120°.b angle a = 60°

angle b = 90°, angle c = 30°, angle d = 60°

angle e = 30°, angle f = 60°

Unit 10, Week 1: Number - Multiplication and division, incl. Measurement (money)Lesson 1: Multiplication ThHTO × O, Division ThHTO ÷ O, using the most efficient method

Answers will vary.

Mental method Written method

2442 x 2

6327 ÷ 9

6642 ÷ 6

6814 ÷ 2

5384 ÷ 4

7568 ÷ 8

3457 x 8

6785 x 6

2Challenge

My Mental Calculations

My Written Calculations

2442 x 2 = 4884

6327 ÷ 9 = 703

6642 ÷ 6 = 1107

6814 ÷ 2 = 3407

5384 ÷ 4 = 1346

7568 ÷ 8 = 946

3457 x 8 = 27 656

6785 x 6 = 40 710

Lesson 2: Multiplying and dividing by 10, 100, 1000, including decimals

a x c x e ÷b x d ÷ f x

Start number Finish

3x 1030

x 10300

÷10000·3

x 10030

÷ 103

÷ 1000·03

x 100030

÷ 103 3

Start number Finish

7x 10007000

÷ 10070

÷ 107

x 10007000

÷ 10070

x 10700

x 107000

÷ 10700

700

Answers will vary.

Unit 10, Week 2: Number - Fractions Lesson 1: Changing fractions

a 1 13 d 1 24

b 1 35 e 1 56

c 1 28 f 1 17

a 2 24 d 3 45

b 2 36 e 3 12

c 3 23 f 3 28

a 4 23 d 5 25

b 3 36 e 5 57

c 4 14 f 5 12

Lesson 3: Pizza problems

a 4 pizzas b 12 over

a 5 pizzas b 12 over

a 6 pizzas b 410 over

Unit 10, Week 3: Measurement (volume and capacity)Lesson 2: Litres and pints

a 4 pints d 4 12 pints

b 9 pints e 13 12 pints

c 8 l f 6·5 pints

a 2·8 l c 14·6 lb 6·2 l d 36 l

a 9 l c 11·25 lb 13·5 l

Lesson 3: Investigating cuboids

Volume of cuboid

Length Breadth Height Volume

A 1 cm 1 cm 1 cm 1 cm3

B 2 cm 2 cm 1 cm 4 cm3

C 3 cm 3 cm 1 cm 9 cm3

D 4 cm 4 cm 1 cm 16 cm3

E 5 cm 5 cm 1 cm 25 cm3

F 6 cm 6 cm 1 cm 36 cm3

See table above

a Cube Y = 64 cm3

b Cuboid D fits into cube Y 4 times

Unit 11, Week 1: Number - Addition and subtraction, incl. Measurement (money)Lesson 1: Missing decimals

Answers will vary.

Answers will vary.

Answers will vary.

Lesson 3: Meet your target

Answers will vary.

Answers will vary.

Answers will vary.

Unit 11, Week 2: Number - Fractions (incl. decimals and percentages)Lesson 2: Food percentages

Ingredient Grams

Protein 30 g

Sugar 10 g

Fat 5 g

Fibre 10 g

Carbohydrates 20 g

Ingredient Grams

Protein 20 g

Sugar 60 g

Fat 10 g

Fibre 10 g

Carbohydrates 120 g

Ingredient Grams

Protein 140 g

Sugar 4 g

Fat 40 g

Fibre 8 g

Carbohydrates 60 g

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Lesson 4: Plan your weather

Answers will vary.

Answers will vary.

Answers will vary.

Unit 11, Week 3: Geometry - Position and directionLesson 2: On reflection

a b

c

Answers will vary

Lesson 3: Coordinates of reflection

00 1 2 3 4 5 6 7 8

1

2

3

4

5

6

A A’ B’B

C C’

D D’

E E’

Shape Image

vertex co-ordinates vertex co-ordinates

A (3, 5) A′ (5, 5)

B (1, 5) B′ (7, 5)

C (1, 3) C′ (7, 3)

D (2, 1) D′ (6, 1)

0

y

x0 1 2 3 4 5 6 7 8

1

2

3

4

5

6

7

8L M

L’ M’

K N

K’ N’

Shape Image

vertex co-ordinates vertex co-ordinates

K (1, 6) K′ (1, 2)

L (3, 8) L′ (3, 0)

M (5, 8) M′ (5, 0)

N (7, 6) N′ (7, 2)

Unit 12, Week 1: Number - Multiplication and divisionLesson 1, Support: Multiplication HTO × TO using partitioning

a 42 d 4200b 420 e 42000c 4200

a 14 532 c 9916b 36 477 d 50 244

240

12 20

3 4 5

4032

144 28

36 4 7

7740

258 30

43 6 5

Lesson 2: Multiplication HTO × TO using partitioning and the grid method

a 540 g 300b 60 h 700c 64 000 i 4d 3600 j 9e 700 k 60f 6300 l Answers will vary.

Answers will vary

a 13 c 2 (20)b 5 (50)

Unit 12, Week 2: Number - Multiplication and division, incl. Measurement (money)Lesson 3: Division ThHTO ÷ O rounding remainders

a 21 b 27 42 36 70 45 35 72 63 63a 597 full boxes of sandwiches.b 318 carriages were needed.c 1135 hot dogs were sold.

Answers will vary.

Lesson 4: Solving money problems

a 30 r4 d 71 r1b 90 r1 e 80 r6c 703 r1 f 607 r2

a €385 per dayb 804 carsc £776.33 per itemd 310.75

Answers will vary.

Unit 12, Week 3: StatisticsLesson 1: Landing the catch

1 a 85 kg b 5 kg c 60 kg

2 a February b August

1 a June b February

2 35 kg

The fishing boat was laid up for repairs during April and May.

Lesson 2: Which holiday?

1 Friday

2 a Palm Bayb Red reef

1 Sunday, Friday

2 a Mondayb Thursday

3 Palm Bay

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